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102961902852 = 223297181162901
BaseRepresentation
bin101111111100100000…
…0011111010100000100
3100211202120222121010100
41133321000133110010
53141331221342402
6115144450524100
710303330506534
oct1377100372404
9324676877110
10102961902852
113a7363455a6
1217b55896630
13992b345593
144daa58b4c4
152a292a571c
hex17f901f504

102961902852 has 72 divisors (see below), whose sum is σ = 264402326552. Its totient is φ = 33778944000.

The previous prime is 102961902839. The next prime is 102961902859. The reversal of 102961902852 is 258209169201.

It is a happy number.

102961902852 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 619 + 0 + 28 + 5 + 2 = 666.

102961902852 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1057940676 + 101903962176 = 32526^2 + 319224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102961902798 and 102961902807.

It is not an unprimeable number, because it can be changed into a prime (102961902859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 550602 + ... + 713502.

Almost surely, 2102961902852 is an apocalyptic number.

102961902852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102961902852 is an abundant number, since it is smaller than the sum of its proper divisors (161440423700).

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

102961902852 is a wasteful number, since it uses less digits than its factorization.

102961902852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163189 (or 163184 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 102961902852 in words is "one hundred two billion, nine hundred sixty-one million, nine hundred two thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 181 194 291 362 388 543 582 724 873 1086 1164 1629 1746 2172 3258 3492 6516 17557 35114 52671 70228 105342 158013 162901 210684 316026 325802 488703 632052 651604 977406 1466109 1954812 2932218 5864436 15801397 29485081 31602794 47404191 58970162 63205588 88455243 94808382 117940324 142212573 176910486 189616764 265365729 284425146 353820972 530731458 568850292 1061462916 2860052857 5720105714 8580158571 11440211428 17160317142 25740475713 34320634284 51480951426 102961902852