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102120011202222 = 232134111394196051
BaseRepresentation
bin10111001110000010101010…
…111111011111111010101110
3111101120120121011102010022100
4113032002222333133322232
5101341113240331432342
61001105141400155530
730336633035060256
oct2716025277377256
9441516534363270
10102120011202222
112a5a1943073512
12b553661168ba6
1344c9b4ccb74c0
141b308c62c2966
15bc1598716e4c
hex5ce0aafdfeae

102120011202222 has 96 divisors (see below), whose sum is σ = 246251840548896. Its totient is φ = 30383877888000.

The previous prime is 102120011202197. The next prime is 102120011202259. The reversal of 102120011202222 is 222202110021201.

It is a happy number.

102120011202222 is a `hidden beast` number, since 10 + 21 + 200 + 11 + 202 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102120011202195 and 102120011202204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46013904 + ... + 48182147.

It is an arithmetic number, because the mean of its divisors is an integer number (2565123339051).

Almost surely, 2102120011202222 is an apocalyptic number.

102120011202222 is an abundant number, since it is smaller than the sum of its proper divisors (144131829346674).

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

102120011202222 is a wasteful number, since it uses less digits than its factorization.

102120011202222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94196226 (or 94196223 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102120011202222 its reverse (222202110021201), we get a palindrome (324322121223423).

The spelling of 102120011202222 in words is "one hundred two trillion, one hundred twenty billion, eleven million, two hundred two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 113 117 123 226 234 246 339 369 533 678 738 1017 1066 1469 1599 2034 2938 3198 4407 4633 4797 8814 9266 9594 13221 13899 26442 27798 41697 60229 83394 120458 180687 361374 542061 1084122 94196051 188392102 282588153 565176306 847764459 1224548663 1695528918 2449097326 3673645989 3862038091 7347291978 7724076182 10644153763 11020937967 11586114273 21288307526 22041875934 23172228546 31932461289 34758342819 50206495183 63864922578 69516685638 95797383867 100412990366 138373998919 150619485549 191594767734 276747997838 301238971098 415121996757 436410304283 451858456647 830243993514 872820608566 903716913294 1245365990271 1309230912849 2490731980542 2618461825698 3927692738547 5673333955679 7855385477094 11346667911358 17020001867037 34040003734074 51060005601111 102120011202222