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30214504432300 = 225231371447182047
BaseRepresentation
bin1101101111010110111001…
…10011011100001010101100
310221222110220202121221120211
412313223130303130022230
512430013301113313200
6144132203545352204
76235632405105646
oct667533463341254
9127873822557524
1030214504432300
119699999074991
12347b934498664
1313b22a5714936
14766565931896
15375e367c2aba
hex1b7adccdc2ac

30214504432300 has 144 divisors (see below), whose sum is σ = 69558111551488. Its totient is φ = 11371903891200.

The previous prime is 30214504432291. The next prime is 30214504432327. The reversal of 30214504432300 is 323440541203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

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, 165879877 + ... + 166061923.

Almost surely, 230214504432300 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 30214504432300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34779055775744).

30214504432300 is an abundant number, since it is smaller than the sum of its proper divisors (39343607119188).

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

30214504432300 is a wasteful number, since it uses less digits than its factorization.

30214504432300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183576 (or 183569 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 31.

Adding to 30214504432300 its reverse (323440541203), we get a palindrome (30537944973503).

The spelling of 30214504432300 in words is "thirty trillion, two hundred fourteen billion, five hundred four million, four hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 37 50 62 74 100 124 148 155 185 310 370 620 740 775 925 1147 1447 1550 1850 2294 2894 3100 3700 4588 5735 5788 7235 11470 14470 22940 28675 28940 36175 44857 53539 57350 72350 89714 107078 114700 144700 179428 182047 214156 224285 267695 364094 448570 535390 728188 897140 910235 1070780 1121425 1338475 1659709 1820470 2242850 2676950 3319418 3640940 4485700 4551175 5353900 5643457 6638836 6735739 8298545 9102350 11286914 13471478 16597090 18204700 22573828 26942956 28217285 33194180 33678695 41492725 56434570 67357390 82985450 112869140 134714780 141086425 165970900 168393475 208807909 263422009 282172850 336786950 417615818 526844018 564345700 673573900 835231636 1044039545 1053688036 1317110045 2088079090 2634220090 4176158180 5220197725 5268440180 6585550225 8166082279 9746614333 10440395450 13171100450 16332164558 19493228666 20880790900 26342200900 32664329116 38986457332 40830411395 48733071665 81660822790 97466143330 163321645580 194932286660 204152056975 243665358325 302145044323 408304113950 487330716650 604290088646 816608227900 974661433300 1208580177292 1510725221615 3021450443230 6042900886460 7553626108075 15107252216150 30214504432300