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20013107113344 = 273397691189983
BaseRepresentation
bin1001000110011101010100…
…01000111110110110000000
32121212020022211210212000010
410203032222020332312000
510110343320410111334
6110321521113024520
74133620310446212
oct443165210766600
977766284725003
1020013107113344
116416569252314
1222b28110b5140
13b222c6919bc7
144d28d4d0a5b2
1524a8c08e50e9
hex1233aa23ed80

20013107113344 has 128 divisors (see below), whose sum is σ = 53371126010880. Its totient is φ = 6644567255040.

The previous prime is 20013107113333. The next prime is 20013107113397. The reversal of 20013107113344 is 44331170131002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 105246577 + ... + 105436559.

It is an arithmetic number, because the mean of its divisors is an integer number (416961921960).

Almost surely, 220013107113344 is an apocalyptic number.

20013107113344 is a gapful number since it is divisible by the number (24) 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 20013107113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26685563005440).

20013107113344 is an abundant number, since it is smaller than the sum of its proper divisors (33358018897536).

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

20013107113344 is a wasteful number, since it uses less digits than its factorization.

20013107113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191088 (or 191076 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 20013107113344 its reverse (44331170131002), we get a palindrome (64344277244346).

The spelling of 20013107113344 in words is "twenty trillion, thirteen billion, one hundred seven million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 397 691 794 1191 1382 1588 2073 2382 2764 3176 4146 4764 5528 6352 8292 9528 11056 12704 16584 19056 22112 25408 33168 38112 44224 50816 66336 76224 88448 132672 152448 189983 265344 274327 379966 548654 569949 759932 822981 1097308 1139898 1519864 1645962 2194616 2279796 3039728 3291924 4389232 4559592 6079456 6583848 8778464 9119184 12158912 13167696 17556928 18238368 24317824 26335392 35113856 36476736 52670784 72953472 75423251 105341568 131278253 150846502 226269753 262556506 301693004 393834759 452539506 525113012 603386008 787669518 905079012 1050226024 1206772016 1575339036 1810158024 2100452048 2413544032 3150678072 3620316048 4200904096 4827088064 6301356144 7240632096 8401808192 9654176128 12602712288 14481264192 16803616384 25205424576 28962528384 50410849152 52117466441 104234932882 156352399323 208469865764 312704798646 416939731528 625409597292 833879463056 1250819194584 1667758926112 2501638389168 3335517852224 5003276778336 6671035704448 10006553556672 20013107113344