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211453030104 = 2334310913211423
BaseRepresentation
bin1100010011101110010…
…1010010111011011000
3202012210112011220012120
43010323211102323120
511431023433430404
6241050140141240
721164001046221
oct3047345227330
9665715156176
10211453030104
11817497a5238
1234b93237820
1316c2b064774
14a33d1dc248
155778b9e9d9
hex313b952ed8

211453030104 has 128 divisors (see below), whose sum is σ = 546686131200. Its totient is φ = 68114027520.

The previous prime is 211453030091. The next prime is 211453030141. The reversal of 211453030104 is 401030354112.

It is a happy number.

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

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, 148595937 + ... + 148597359.

It is an arithmetic number, because the mean of its divisors is an integer number (4270985400).

Almost surely, 2211453030104 is an apocalyptic number.

211453030104 is a gapful number since it is divisible by the number (24) 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 211453030104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273343065600).

211453030104 is an abundant number, since it is smaller than the sum of its proper divisors (335233101096).

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

211453030104 is a wasteful number, since it uses less digits than its factorization.

211453030104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2901 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 211453030104 its reverse (401030354112), we get a palindrome (612483384216).

The spelling of 211453030104 in words is "two hundred eleven billion, four hundred fifty-three million, thirty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 43 86 109 129 172 218 258 327 344 436 516 654 872 1032 1308 1321 1423 2616 2642 2846 3963 4269 4687 5284 5692 7926 8538 9374 10568 11384 14061 15852 17076 18748 28122 31704 34152 37496 56244 56803 61189 112488 113606 122378 143989 155107 170409 183567 227212 244756 287978 310214 340818 367134 431967 454424 465321 489512 575956 620428 681636 734268 863934 930642 1151912 1240856 1363272 1468536 1727868 1861284 1879783 3455736 3722568 3759566 5639349 6191527 6669601 7519132 11278698 12383054 13339202 15038264 18574581 20008803 22557396 24766108 26678404 37149162 40017606 45114792 49532216 53356808 74298324 80035212 80830669 148596648 160070424 161661338 204896347 242492007 323322676 409792694 484984014 614689041 646645352 819585388 969968028 1229378082 1639170776 1939936056 2458756164 4917512328 8810542921 17621085842 26431628763 35242171684 52863257526 70484343368 105726515052 211453030104