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21200102112112 = 2471122551613231
BaseRepresentation
bin1001101001000000010001…
…00011100011101101110000
32210001201011120022110010021
410310200020203203231300
510234320302120041422
6113031105323213224
74315441202454610
oct464401043435560
983051146273107
1021200102112112
116833a04a58500
12246487b377214
13baa212aa16c1
1453413a166a40
1526b6e39e1dc7
hex1348088e3b70

21200102112112 has 120 divisors (see below), whose sum is σ = 51618906622976. Its totient is φ = 8256528720000.

The previous prime is 21200102112097. The next prime is 21200102112131. The reversal of 21200102112112 is 21121120100212.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 34264537 + ... + 34877767.

Almost surely, 221200102112112 is an apocalyptic number.

21200102112112 is a gapful number since it is divisible by the number (22) 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 21200102112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25809453311488).

21200102112112 is an abundant number, since it is smaller than the sum of its proper divisors (30418804510864).

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

21200102112112 is a wasteful number, since it uses less digits than its factorization.

21200102112112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615819 (or 615802 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21200102112112 its reverse (21121120100212), we get a palindrome (42321222212324).

The spelling of 21200102112112 in words is "twenty-one trillion, two hundred billion, one hundred two million, one hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 121 154 176 242 308 484 616 847 968 1232 1694 1936 2551 3388 5102 6776 10204 13552 17857 20408 28061 35714 40816 56122 71428 112244 142856 196427 224488 285712 308671 392854 448976 613231 617342 785708 1226462 1234684 1571416 2160697 2452924 2469368 3142832 4292617 4321394 4905848 4938736 6745541 8585234 8642788 9811696 13491082 17170468 17285576 26982164 34340936 34571152 47218787 53964328 68681872 74200951 94437574 107928656 148401902 188875148 296803804 377750296 519406657 593607608 755500592 1038813314 1187215216 1564352281 2077626628 3128704562 4155253256 6257409124 8310506512 10950465967 12514818248 17207875091 21900931934 25029636496 34415750182 43801863868 68831500364 87603727736 120455125637 137663000728 175207455472 189286626001 240910251274 275326001456 378573252002 481820502548 757146504004 963641005096 1325006382007 1514293008008 1927282010192 2650012764014 3028586016016 5300025528028 10600051056056 21200102112112