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132013211013102 = 23315347946516011
BaseRepresentation
bin11110000001000010111000…
…100011000100111111101110
3122022102100011122201010202110
4132001002320203010333232
5114300401024004404402
61144434010520504450
736543432302030646
oct3601027043047756
9568370148633673
10132013211013102
1139077541048761
121298106531b126
135887a3bb30273
14248568b425526
15103de772aa56c
hex7810b88c4fee

132013211013102 has 128 divisors (see below), whose sum is σ = 278371583262720. Its totient is φ = 41678292240000.

The previous prime is 132013211013083. The next prime is 132013211013119. The reversal of 132013211013102 is 201310112310231.

132013211013102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21961935277 + ... + 21961941287.

It is an arithmetic number, because the mean of its divisors is an integer number (2174777994240).

Almost surely, 2132013211013102 is an apocalyptic number.

132013211013102 is an abundant number, since it is smaller than the sum of its proper divisors (146358372249618).

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

132013211013102 is a wasteful number, since it uses less digits than its factorization.

132013211013102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 132013211013102 its reverse (201310112310231), we get a palindrome (333323323323333).

The spelling of 132013211013102 in words is "one hundred thirty-two trillion, thirteen billion, two hundred eleven million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 31 53 62 93 106 159 186 318 479 958 1437 1643 2874 3286 4651 4929 6011 9302 9858 12022 13953 14849 18033 25387 27906 29698 36066 44547 50774 76161 89094 144181 152322 186341 246503 288362 318583 372682 432543 493006 559023 637166 739509 786997 865086 955749 1118046 1479018 1573994 1911498 2227829 2360991 2879269 4455658 4721982 5758538 6683487 7641593 8637807 9876073 13366974 15283186 17275614 19752146 22924779 27957161 29628219 45849558 55914322 59256438 69062699 83871483 89257339 118074937 138125398 152601257 167742966 178514678 207188097 236149874 267772017 305202514 354224811 414376194 457803771 535544034 708449622 866671991 915607542 1481729533 1733343982 2600015973 2963459066 3660323047 4445188599 4730638967 5200031946 7320646094 8890377198 9461277934 10980969141 13391480119 14191916901 21961938282 26782960238 28383833802 40174440357 45933615523 80348880714 91867231046 137800846569 275601693138 415135883689 709748446307 830271767378 1245407651067 1419496892614 2129245338921 2490815302134 4258490677842 22002201835517 44004403671034 66006605506551 132013211013102