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20112000112100 = 22521341794776403
BaseRepresentation
bin1001001001010101100001…
…00111110101010111100100
32122012200120212102201000202
410210222300213311113210
510114003334012041400
6110435154133130032
74144021053201641
oct444526047652744
978180525381022
1020112000112100
1164544a6820a56
122309a10189918
13b2b726c97010
144d75d6d28dc8
1524d25c8644d5
hex124ab09f55e4

20112000112100 has 144 divisors (see below), whose sum is σ = 48756003582720. Its totient is φ = 7153139635200.

The previous prime is 20112000112067. The next prime is 20112000112121. The reversal of 20112000112100 is 121100021102.

It is a super-2 number, since 2×201120001121002 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1822499 + ... + 6598901.

Almost surely, 220112000112100 is an apocalyptic number.

20112000112100 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 20112000112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24378001791360).

20112000112100 is an abundant number, since it is smaller than the sum of its proper divisors (28644003470620).

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

20112000112100 is a wasteful number, since it uses less digits than its factorization.

20112000112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776550 (or 4776543 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20112000112100 its reverse (121100021102), we get a palindrome (20233100133202).

The spelling of 20112000112100 in words is "twenty trillion, one hundred twelve billion, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 41 50 52 65 79 82 100 130 158 164 205 260 316 325 395 410 533 650 790 820 1025 1027 1066 1300 1580 1975 2050 2054 2132 2665 3239 3950 4100 4108 5135 5330 6478 7900 10270 10660 12956 13325 16195 20540 25675 26650 32390 42107 51350 53300 64780 80975 84214 102700 161950 168428 210535 323900 421070 842140 1052675 2105350 4210700 4776403 9552806 19105612 23882015 47764030 62093239 95528060 119410075 124186478 195832523 238820150 248372956 310466195 377335837 391665046 477640300 620932390 754671674 783330092 979162615 1241864780 1509343348 1552330975 1886679185 1958325230 2545822799 3104661950 3773358370 3916650460 4895813075 4905365881 5091645598 6209323900 7546716740 9433395925 9791626150 9810731762 10183291196 12729113995 15470769317 18866791850 19583252300 19621463524 24526829405 25458227990 30941538634 37733583700 49053658810 50916455980 61883077268 63645569975 77353846585 98107317620 122634147025 127291139950 154707693170 201120001121 245268294050 254582279900 309415386340 386769232925 402240002242 490536588100 773538465850 804480004484 1005600005605 1547076931700 2011200011210 4022400022420 5028000028025 10056000056050 20112000112100