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230202203131120 = 24511448515832499
BaseRepresentation
bin110100010101111000100000…
…100010110100110011110000
31010012002010010100012011021211
4310111320200202310303300
5220133113103000143440
62133333233203325504
766326363123200603
oct6425704042646360
91105063110164254
10230202203131120
116739322a343620
122199a890080894
139b5ac892a6b7c
1440bbbbb90633a
151b9314a926eea
hexd15e208b4cf0

230202203131120 has 80 divisors (see below), whose sum is σ = 583889615280000. Its totient is φ = 83708011296000.

The previous prime is 230202203131093. The next prime is 230202203131123. The reversal of 230202203131120 is 21131302202032.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×2302022031311204 (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 230202203131091 and 230202203131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230202203131123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36552631 + ... + 42385129.

It is an arithmetic number, because the mean of its divisors is an integer number (7298620191000).

Almost surely, 2230202203131120 is an apocalyptic number.

230202203131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230202203131120 is an abundant number, since it is smaller than the sum of its proper divisors (353687412148880).

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

230202203131120 is a wasteful number, since it uses less digits than its factorization.

230202203131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877374 (or 5877368 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 230202203131120 its reverse (21131302202032), we get a palindrome (251333505333152).

The spelling of 230202203131120 in words is "two hundred thirty trillion, two hundred two billion, two hundred three million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 44851 89702 179404 224255 358808 448510 493361 717616 897020 986722 1794040 1973444 2466805 3588080 3946888 4933610 5832499 7893776 9867220 11664998 19734440 23329996 29162495 39468880 46659992 58324990 64157489 93319984 116649980 128314978 233299960 256629956 320787445 466599920 513259912 641574890 1026519824 1283149780 2566299560 5132599120 261593412649 523186825298 1046373650596 1307967063245 2092747301192 2615934126490 2877527539139 4185494602384 5231868252980 5755055078278 10463736505960 11510110156556 14387637695695 20927473011920 23020220313112 28775275391390 46040440626224 57550550782780 115101101565560 230202203131120