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1301333232132 = 223437227478207
BaseRepresentation
bin10010111011111101100…
…000010100101000000100
311121101222011001122220000
4102323331200110220010
5132310112301412012
62433454011241300
7163006151651463
oct22737540245004
94541864048800
101301333232132
1146198a75822a
12190259a49230
139593b3995ab
1446db067a9da
1523cb5ecbddc
hex12efd814a04

1301333232132 has 120 divisors (see below), whose sum is σ = 3509285412864. Its totient is φ = 420193873728.

The previous prime is 1301333232107. The next prime is 1301333232137. The reversal of 1301333232132 is 2312323331031.

1301333232132 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 332 + 321 + 3 + 2 = 666.

It is a super-2 number, since 2×13013332321322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1301333232096 and 1301333232105.

It is not an unprimeable number, because it can be changed into a prime (1301333232137) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2482173 + ... + 2960379.

Almost surely, 21301333232132 is an apocalyptic number.

1301333232132 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 1301333232132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754642706432).

1301333232132 is an abundant number, since it is smaller than the sum of its proper divisors (2207952180732).

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

1301333232132 is a wasteful number, since it uses less digits than its factorization.

1301333232132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478487 (or 478476 counting only the distinct ones).

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

Adding to 1301333232132 its reverse (2312323331031), we get a palindrome (3613656563163).

The spelling of 1301333232132 in words is "one trillion, three hundred one billion, three hundred thirty-three million, two hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 227 324 333 444 454 666 681 908 999 1332 1362 1998 2043 2724 2997 3996 4086 5994 6129 8172 8399 11988 12258 16798 18387 24516 25197 33596 36774 50394 73548 75591 100788 151182 226773 302364 453546 478207 680319 907092 956414 1360638 1434621 1912828 2721276 2869242 4303863 5738484 8607726 12911589 17215452 17693659 25823178 35387318 38734767 51646356 53080977 70774636 77469534 106161954 108552989 154939068 159242931 212323908 217105978 318485862 325658967 434211956 477728793 636971724 651317934 955457586 976976901 1302635868 1433186379 1910915172 1953953802 2866372758 2930930703 3907907604 4016460593 5732745516 5861861406 8032921186 8792792109 11723722812 12049381779 16065842372 17585584218 24098763558 35171168436 36148145337 48197527116 72296290674 108444436011 144592581348 216888872022 325333308033 433777744044 650666616066 1301333232132