Search a number
-
+
230100010300320 = 25354311148256313
BaseRepresentation
bin110100010100011001010101…
…011000000111001110100000
31010011201100100100100110200120
4310110121111120013032200
5220124424310114102240
62133214252504320240
766316114521362436
oct6424312530071640
91104640310313616
10230100010300320
1167353959135266
1221982b0ba73080
139b514513a6014
1440b6c85552d56
151b90668e39ad0
hexd146556073a0

230100010300320 has 96 divisors (see below), whose sum is σ = 741671196057792. Its totient is φ = 59933025933312.

The previous prime is 230100010300319. The next prime is 230100010300331. The reversal of 230100010300320 is 23003010001032.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 230100010300320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5574107517 + ... + 5574148796.

It is an arithmetic number, because the mean of its divisors is an integer number (7725741625602).

Almost surely, 2230100010300320 is an apocalyptic number.

230100010300320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230100010300320 is an abundant number, since it is smaller than the sum of its proper divisors (511571185757472).

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

230100010300320 is a wasteful number, since it uses less digits than its factorization.

230100010300320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148256374 (or 11148256366 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 230100010300320 its reverse (23003010001032), we get a palindrome (253103020301352).

The spelling of 230100010300320 in words is "two hundred thirty trillion, one hundred billion, ten million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 10320 20640 11148256313 22296512626 33444768939 44593025252 55741281565 66889537878 89186050504 111482563130 133779075756 167223844695 178372101008 222965126260 267558151512 334447689390 356744202016 445930252520 479375021459 535116303024 668895378780 891860505040 958750042918 1070232606048 1337790757560 1438125064377 1783721010080 1917500085836 2396875107295 2675581515120 2876250128754 3835000171672 4793750214590 5351163030240 5752500257508 7190625321885 7670000343344 9587500429180 11505000515016 14381250643770 15340000686688 19175000858360 23010001030032 28762501287540 38350001716720 46020002060064 57525002575080 76700003433440 115050005150160 230100010300320