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102123331333212 = 22379745492755231
BaseRepresentation
bin10111001110000101110000…
…111000110010110001011100
3111101120220011112211020210210
4113032011300320302301130
5101341142040310130322
61001110451042132420
730340111231525410
oct2716056070626134
9441526145736723
10102123331333212
112a5a3297208022
12b554229051110
1344ca25bac7757
141b30b1d21cd40
15bc16dee4470c
hex5ce170e32c5c

102123331333212 has 96 divisors (see below), whose sum is σ = 275196980531200. Its totient is φ = 28870931036160.

The previous prime is 102123331333103. The next prime is 102123331333213. The reversal of 102123331333212 is 212333133321201.

It is a self number, because there is not a number n which added to its sum of digits gives 102123331333212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102123331333213) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 35687637 + ... + 38442867.

Almost surely, 2102123331333212 is an apocalyptic number.

102123331333212 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 102123331333212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137598490265600).

102123331333212 is an abundant number, since it is smaller than the sum of its proper divisors (173073649197988).

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

102123331333212 is a wasteful number, since it uses less digits than its factorization.

102123331333212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759891 (or 2759889 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 102123331333212 its reverse (212333133321201), we get a palindrome (314456464654413).

The spelling of 102123331333212 in words is "one hundred two trillion, one hundred twenty-three billion, three hundred thirty-one million, three hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 4549 8148 9098 13647 18196 27294 31843 54588 63686 95529 127372 191058 382116 441253 882506 1323759 1765012 2647518 2755231 3088771 5295036 5510462 6177542 8265693 9266313 11020924 12355084 16531386 18532626 19286617 33062772 37065252 38573234 57859851 77146468 115719702 231439404 267257407 534514814 801772221 1069029628 1603544442 1870801849 3207088884 3741603698 5612405547 7483207396 11224811094 12533545819 22449622188 25067091638 37600637457 50134183276 75201274914 87734820733 150402549828 175469641466 263204462199 350939282932 526408924398 1052817848796 1215753944443 2431507888886 3647261833329 4863015777772 7294523666658 8510277611101 14589047333316 17020555222202 25530832833303 34041110444404 51061665666606 102123331333212