Search a number
-
+
13120101404400 = 2435252783207139
BaseRepresentation
bin1011111011101100001011…
…1110111100111011110000
31201110021021102111000110110
42332323002332330323300
53204424431424420100
643523142534301320
72522616225605424
oct276730276747360
951407242430413
1013120101404400
1141a9227225501
12157a91b4b7840
137422b2b88593
14335032a06b84
1517b43d4bd250
hexbeec2fbcef0

13120101404400 has 120 divisors (see below), whose sum is σ = 42029057309440. Its totient is φ = 3498610533120.

The previous prime is 13120101404383. The next prime is 13120101404503. The reversal of 13120101404400 is 440410102131.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63236031 + ... + 63443169.

Almost surely, 213120101404400 is an apocalyptic number.

13120101404400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13120101404400 is an abundant number, since it is smaller than the sum of its proper divisors (28908955905040).

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

13120101404400 is a wasteful number, since it uses less digits than its factorization.

13120101404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259943 (or 259932 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 13120101404400 its reverse (440410102131), we get a palindrome (13560511506531).

The spelling of 13120101404400 in words is "thirteen trillion, one hundred twenty billion, one hundred one million, four hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 52783 105566 158349 207139 211132 263915 316698 414278 422264 527830 621417 633396 791745 828556 844528 1035695 1055660 1242834 1266792 1319575 1583490 1657112 2071390 2111320 2485668 2533584 2639150 3107085 3166980 3314224 3958725 4142780 4222640 4971336 5178475 5278300 6214170 6333960 7917450 8285560 9942672 10356950 10556600 12428340 12667920 15535425 15834900 16571120 20713900 21113200 24856680 31070850 31669800 41427800 49713360 62141700 63339600 82855600 124283400 248566800 10933417837 21866835674 32800253511 43733671348 54667089185 65600507022 87467342696 109334178370 131201014044 164001267555 174934685392 218668356740 262402028088 273335445925 328002535110 437336713480 524804056176 546670891850 656005070220 820006337775 874673426960 1093341783700 1312010140440 1640012675550 2186683567400 2624020280880 3280025351100 4373367134800 6560050702200 13120101404400