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20313411113000 = 2353127661241979
BaseRepresentation
bin1001001111001100101011…
…01001110101000000101000
32122220221110112202122212202
410213212111221311000220
510130303331221104000
6111111504025555332
74164411156360125
oct447462551650050
978827415678782
1020313411113000
116521962004aa5
122340a60345b48
13b44714716c65
1450326258374c
152535e9b02dd5
hex127995a75028

20313411113000 has 128 divisors (see below), whose sum is σ = 47980336435200. Its totient is φ = 8049156192000.

The previous prime is 20313411112993. The next prime is 20313411113059. The reversal of 20313411113000 is 31111431302.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83826011 + ... + 84067989.

It is an arithmetic number, because the mean of its divisors is an integer number (374846378400).

Almost surely, 220313411113000 is an apocalyptic number.

20313411113000 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 20313411113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23990168217600).

20313411113000 is an abundant number, since it is smaller than the sum of its proper divisors (27666925322200).

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

20313411113000 is a wasteful number, since it uses less digits than its factorization.

20313411113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242788 (or 242774 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 20313411113000 its reverse (31111431302), we get a palindrome (20344522544302).

The spelling of 20313411113000 in words is "twenty trillion, three hundred thirteen billion, four hundred eleven million, one hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 200 250 254 500 508 635 661 1000 1016 1270 1322 2540 2644 3175 3305 5080 5288 6350 6610 12700 13220 15875 16525 25400 26440 31750 33050 63500 66100 82625 83947 127000 132200 165250 167894 241979 330500 335788 419735 483958 661000 671576 839470 967916 1209895 1678940 1935832 2098675 2419790 3357880 4197350 4839580 6049475 8394700 9679160 10493375 12098950 16789400 20986750 24197900 30247375 30731333 41973500 48395800 60494750 61462666 83947000 120989500 122925332 153656665 159948119 241979000 245850664 307313330 319896238 614626660 639792476 768283325 799740595 1229253320 1279584952 1536566650 1599481190 3073133300 3198962380 3841416625 3998702975 6146266600 6397924760 7682833250 7997405950 15365666500 15994811900 19993514875 20313411113 30731333000 31989623800 39987029750 40626822226 79974059500 81253644452 101567055565 159948119000 162507288904 203134111130 406268222260 507835277825 812536444520 1015670555650 2031341111300 2539176389125 4062682222600 5078352778250 10156705556500 20313411113000