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13303303212132 = 223223412657147487
BaseRepresentation
bin1100000110010110101010…
…1010011000110001100100
31202002210011002000010012200
43001211222222120301210
53220430131110242012
644143241513014500
72542063153355103
oct301455252306144
952083132003180
1013303303212132
11426999893517a
1215aa3293b4430
1375665ac523cb
1433dc51b3c03a
151810b1d303dc
hexc196aa98c64

13303303212132 has 144 divisors (see below), whose sum is σ = 35959495283712. Its totient is φ = 4136592936960.

The previous prime is 13303303212103. The next prime is 13303303212137. The reversal of 13303303212132 is 23121230330331.

13303303212132 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 330 + 321 + 2 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 13303303212096 and 13303303212105.

It is not an unprimeable number, because it can be changed into a prime (13303303212137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90126093 + ... + 90273579.

It is an arithmetic number, because the mean of its divisors is an integer number (249718717248).

Almost surely, 213303303212132 is an apocalyptic number.

13303303212132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13303303212132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979747641856).

13303303212132 is an abundant number, since it is smaller than the sum of its proper divisors (22656192071580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13303303212132 is a wasteful number, since it uses less digits than its factorization.

13303303212132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150218 (or 150213 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13303303212132 its reverse (23121230330331), we get a palindrome (36424533542463).

The spelling of 13303303212132 in words is "thirteen trillion, three hundred three billion, three hundred three million, two hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 492 738 828 943 1476 1886 2657 2829 3772 5314 5658 7971 8487 10628 11316 15942 16974 23913 31884 33948 47826 61111 95652 108937 122222 147487 183333 217874 244444 294974 326811 366666 435748 442461 549999 589948 653622 733332 884922 980433 1099998 1307244 1327383 1769844 1960866 2199996 2505551 2654766 3392201 3921732 5011102 5309532 6046967 6784402 7516653 10022204 10176603 12093934 13568804 15033306 18140901 20353206 22549959 24187868 30066612 30529809 36281802 40706412 45099918 54422703 61059618 72563604 90199836 108845406 122119236 139080241 217690812 278160482 391872959 417240723 556320964 783745918 834481446 1175618877 1251722169 1567491836 1668962892 2351237754 2503444338 3526856631 4702475508 5006888676 7053713262 9013078057 14107426524 16066791319 18026156114 27039234171 32133582638 36052312228 48200373957 54078468342 64267165276 81117702513 96400747914 108156936684 144601121871 162235405026 192801495828 289202243742 324470810052 369536200337 578404487484 739072400674 1108608601011 1478144801348 2217217202022 3325825803033 4434434404044 6651651606066 13303303212132