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10122222220011 = 3211247719772851
BaseRepresentation
bin1001001101001100001101…
…1101011011001011101011
31022211200020001220100002200
42103103003131123023223
52311320302342020021
633310030143231243
72063210050152246
oct223230335331353
938750201810080
1010122222220011
1132528a0614a00
1211759078a8523
135856a1853c75
1426dcbd65825d
15128480054126
hex934c375b2eb

10122222220011 has 144 divisors (see below), whose sum is σ = 16666987244544. Its totient is φ = 5911456320000.

The previous prime is 10122222220001. The next prime is 10122222220027. The reversal of 10122222220011 is 11002222222101.

It is a happy number.

10122222220011 is a `hidden beast` number, since 10 + 1 + 222 + 222 + 200 + 11 = 666.

It is not a de Polignac number, because 10122222220011 - 213 = 10122222211819 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122222220001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3550409736 + ... + 3550412586.

It is an arithmetic number, because the mean of its divisors is an integer number (115742966976).

Almost surely, 210122222220011 is an apocalyptic number.

10122222220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122222220011 is a deficient number, since it is larger than the sum of its proper divisors (6544765024533).

10122222220011 is a wasteful number, since it uses less digits than its factorization.

10122222220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3974 (or 3960 counting only the distinct ones).

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

Adding to 10122222220011 its reverse (11002222222101), we get a palindrome (21124444442112).

The spelling of 10122222220011 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, two hundred twenty thousand, eleven".

Divisors: 1 3 9 11 33 47 71 99 121 141 213 363 423 517 639 781 977 1089 1551 2343 2851 2931 3337 4653 5687 7029 8553 8591 8793 10011 10747 17061 25659 25773 30033 31361 32241 36707 45919 51183 69367 77319 94083 96723 110121 118217 133997 137757 202421 208101 282249 330363 344971 354651 401991 403777 413271 505109 607263 624303 763037 1034913 1063953 1205973 1211331 1473967 1515327 1821789 2226631 2289111 2785427 3104739 3260249 3633993 4421901 4545981 5556199 6679893 6867333 8356281 8393407 9513787 9780747 13265703 16213637 16668597 20039679 24492941 25068843 25180221 28541361 29342241 30639697 35862739 48640911 50005791 73478823 75540663 85624083 91919091 104651657 107588217 130915069 145922733 197765317 220436469 275757273 313954971 322764651 337036667 392745207 394490129 593295951 941864913 1011110001 1151168227 1178235621 1183470387 1440065759 1779887853 2175418487 3033330003 3453504681 3550411161 4320197277 6526255461 9294969899 10360514043 12960591831 15840723349 19578766383 23929603357 27884909697 47522170047 71788810071 83654729091 102244668889 142566510141 215366430213 306734006667 920202020001 1124691357779 3374074073337 10122222220011