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215214531451300 = 225219297121548503
BaseRepresentation
bin110000111011110010001001…
…101100101001100110100100
31001020000022022201202100000101
4300323302021230221212210
5211202033330022420200
62041420105120353444
763221510500665433
oct6073621154514644
91036008281670011
10215214531451300
1162634a74411507
122017a027175884
139311849254204
143b206204b511a
1519d335578826a
hexc3bc89b299a4

215214531451300 has 144 divisors (see below), whose sum is σ = 508619202537600. Its totient is φ = 78731538278400.

The previous prime is 215214531451273. The next prime is 215214531451313. The reversal of 215214531451300 is 3154135412512.

It is a self number, because there is not a number n which added to its sum of digits gives 215214531451300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392092849 + ... + 392641351.

It is an arithmetic number, because the mean of its divisors is an integer number (3532077795400).

Almost surely, 2215214531451300 is an apocalyptic number.

215214531451300 is a gapful number since it is divisible by the number (20) 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 215214531451300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254309601268800).

215214531451300 is an abundant number, since it is smaller than the sum of its proper divisors (293404671086300).

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

215214531451300 is a wasteful number, since it uses less digits than its factorization.

215214531451300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555686 (or 555679 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

Adding to 215214531451300 its reverse (3154135412512), we get a palindrome (218368666863812).

The spelling of 215214531451300 in words is "two hundred fifteen trillion, two hundred fourteen billion, five hundred thirty-one million, four hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 29 38 50 58 76 95 100 116 145 190 290 380 475 551 580 725 950 1102 1450 1900 2204 2755 2900 5510 7121 11020 13775 14242 27550 28484 35605 55100 71210 135299 142420 178025 206509 270598 356050 413018 541196 548503 676495 712100 826036 1032545 1097006 1352990 2065090 2194012 2705980 2742515 3382475 3923671 4130180 5162725 5485030 6764950 7847342 10325450 10421557 10970060 13529900 13712575 15694684 15906587 19618355 20650900 20843114 27425150 31813174 39236710 41686228 52107785 54850300 63626348 78473420 79532935 98091775 104215570 159065870 196183550 208431140 260538925 302225153 318131740 392367100 397664675 521077850 604450306 795329350 1042155700 1208900612 1511125765 1590658700 3022251530 3905889863 6044503060 7555628825 7811779726 15111257650 15623559452 19529449315 30222515300 39058898630 74211907397 78117797260 97647246575 113270806027 148423814794 195294493150 226541612054 296847629588 371059536985 390588986300 453083224108 566354030135 742119073970 1132708060270 1484238147940 1855297684925 2152145314513 2265416120540 2831770150675 3710595369850 4304290629026 5663540301350 7421190739700 8608581258052 10760726572565 11327080602700 21521453145130 43042906290260 53803632862825 107607265725650 215214531451300