Search a number
-
+
2111017151112 = 23319101281163117
BaseRepresentation
bin11110101110000010011…
…011010110101010001000
321110210220102012110100120
4132232002123112222020
5234041330342313422
64253442103503240
7305341654501452
oct36560233265210
97423812173316
102111017151112
11744306169651
122a1167457b20
131240b66c4c2c
1474260ba72d2
1539da454345c
hex1eb826d6a88

2111017151112 has 128 divisors (see below), whose sum is σ = 5630311382400. Its totient is φ = 657683712000.

The previous prime is 2111017151099. The next prime is 2111017151149. The reversal of 2111017151112 is 2111517101112.

It is a super-3 number, since 3×21110171511123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 12860178 + ... + 13023294.

It is an arithmetic number, because the mean of its divisors is an integer number (43986807675).

Almost surely, 22111017151112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2111017151112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2815155691200).

2111017151112 is an abundant number, since it is smaller than the sum of its proper divisors (3519294231288).

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

2111017151112 is a wasteful number, since it uses less digits than its factorization.

2111017151112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163527 (or 163523 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 24.

The spelling of 2111017151112 in words is "two trillion, one hundred eleven billion, seventeen million, one hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 101 114 152 202 228 281 303 404 456 562 606 808 843 1124 1212 1686 1919 2248 2424 3372 3838 5339 5757 6744 7676 10678 11514 15352 16017 21356 23028 28381 32034 42712 46056 56762 64068 85143 113524 128136 163117 170286 227048 326234 340572 489351 539239 652468 681144 978702 1078478 1304936 1617717 1957404 2156956 3099223 3235434 3914808 4313912 6198446 6470868 9297669 12396892 12941736 16474817 18595338 24793784 32949634 37190676 45835877 49424451 65899268 74381352 91671754 98848902 131798536 137507631 183343508 197697804 275015262 313021523 366687016 395395608 550030524 626043046 870881663 939064569 1100061048 1252086092 1741763326 1878129138 2504172184 2612644989 3483526652 3756258276 4629423577 5225289978 6967053304 7512516552 9258847154 10450579956 13888270731 18517694308 20901159912 27776541462 37035388616 55553082924 87959047963 111106165848 175918095926 263877143889 351836191852 527754287778 703672383704 1055508575556 2111017151112