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102342100120 = 235134310145317
BaseRepresentation
bin101111101010000010…
…0001000010010011000
3100210011101201100121121
41133110010020102120
53134044034200440
6115003150215024
710252063332511
oct1372404102230
9323141640547
10102342100120
113a4484a1637
1217a021b4474
13985cb052c0
144d4c12ba08
1529deb7534a
hex17d4108498

102342100120 has 128 divisors (see below), whose sum is σ = 256267851840. Its totient is φ = 36542822400.

The previous prime is 102342100087. The next prime is 102342100177. The reversal of 102342100120 is 21001243201.

It is a junction number, because it is equal to n+sod(n) for n = 102342100094 and 102342100103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2235702 + ... + 2281018.

Almost surely, 2102342100120 is an apocalyptic number.

102342100120 is a gapful number since it is divisible by the number (10) 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 102342100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128133925920).

102342100120 is an abundant number, since it is smaller than the sum of its proper divisors (153925751720).

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

102342100120 is a wasteful number, since it uses less digits than its factorization.

102342100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45485 (or 45481 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102342100120 its reverse (21001243201), we get a palindrome (123343343321).

The spelling of 102342100120 in words is "one hundred two billion, three hundred forty-two million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 43 52 65 86 101 104 130 172 202 215 260 344 404 430 505 520 559 808 860 1010 1118 1313 1720 2020 2236 2626 2795 4040 4343 4472 5252 5590 6565 8686 10504 11180 13130 17372 21715 22360 26260 34744 43430 45317 52520 56459 86860 90634 112918 173720 181268 225836 226585 282295 362536 451672 453170 564590 589121 906340 1129180 1178242 1812680 1948631 2258360 2356484 2945605 3897262 4577017 4712968 5891210 7794524 9154034 9743155 11782420 15589048 18308068 19486310 22885085 23564840 25332203 36616136 38972620 45770170 50664406 59501221 77945240 91540340 101328812 119002442 126661015 183080680 196811731 202657624 238004884 253322030 297506105 393623462 476009768 506644060 595012210 787246924 984058655 1013288120 1190024420 1574493848 1968117310 2380048840 2558552503 3936234620 5117105006 7872469240 10234210012 12792762515 20468420024 25585525030 51171050060 102342100120