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102102343333302 = 231319791495852941
BaseRepresentation
bin10111001101110010001101…
…111001111011010110110110
3111101111212222212012101110210
4113031302031321323112312
5101340321044343131202
61001053100300330250
730335436151500324
oct2715621571732666
9441455885171423
10102102343333302
112a5953a7011054
12b550150243986
1344c82958249b0
141b2dacba30d14
15bc0db25b7c6c
hex5cdc8de7b5b6

102102343333302 has 128 divisors (see below), whose sum is σ = 235990621440000. Its totient is φ = 29188658603520.

The previous prime is 102102343333253. The next prime is 102102343333307. The reversal of 102102343333302 is 203333343201201.

It is a self number, because there is not a number n which added to its sum of digits gives 102102343333302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102102343333307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14518152 + ... + 20371092.

It is an arithmetic number, because the mean of its divisors is an integer number (1843676730000).

Almost surely, 2102102343333302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102102343333302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117995310720000).

102102343333302 is an abundant number, since it is smaller than the sum of its proper divisors (133888278106698).

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

102102343333302 is a wasteful number, since it uses less digits than its factorization.

102102343333302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5853206.

The product of its (nonzero) digits is 23328, while the sum is 30.

Adding to 102102343333302 its reverse (203333343201201), we get a palindrome (305435686534503).

The spelling of 102102343333302 in words is "one hundred two trillion, one hundred two billion, three hundred forty-three million, three hundred thirty-three thousand, three hundred two".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 79 114 149 158 237 247 298 447 474 494 741 894 1027 1482 1501 1937 2054 2831 3002 3081 3874 4503 5662 5811 6162 8493 9006 11622 11771 16986 19513 23542 35313 36803 39026 58539 70626 73606 110409 117078 153023 220818 223649 306046 447298 459069 670947 918138 1341894 2907437 5814874 5852941 8722311 11705882 17444622 17558823 35117646 76088233 111205879 152176466 222411758 228264699 333617637 456529398 462382339 667235274 872088209 924764678 1387147017 1445676427 1744176418 2616264627 2774294034 2891352854 4337029281 5232529254 6010970407 8674058562 8785264441 11337146717 12021940814 16569675971 17570528882 18032911221 22674293434 26355793323 33139351942 34011440151 36065822442 49709027913 52711586646 68022880302 68894968511 99418055826 114208437733 137789937022 206684905533 215405787623 228416875466 342625313199 413369811066 430811575246 646217362869 685250626398 895634590643 1292434725738 1309004401709 1791269181286 2618008803418 2686903771929 3927013205127 5373807543858 7854026410254 17017057222217 34034114444434 51051171666651 102102343333302