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21145013335212 = 223131721034553531
BaseRepresentation
bin1001100111011001101010…
…00000100011010010101100
32202212102222100001121220220
410303230311000203102230
510232414441403211322
6112545515055411340
74311451066544604
oct463546500432254
982772870047826
1021145013335212
116812605862008
122456066223b50
13ba4c7398bab0
145315d1a65c04
1526a06c50b55c
hex133b350234ac

21145013335212 has 144 divisors (see below), whose sum is σ = 56990986520832. Its totient is φ = 6063990543360.

The previous prime is 21145013335157. The next prime is 21145013335219. The reversal of 21145013335212 is 21253331054112.

It is a happy number.

It is a super-2 number, since 2×211450133352122 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21145013335219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2366887 + ... + 6920417.

It is an arithmetic number, because the mean of its divisors is an integer number (395770739728).

Almost surely, 221145013335212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21145013335212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28495493260416).

21145013335212 is an abundant number, since it is smaller than the sum of its proper divisors (35845973185620).

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

21145013335212 is a wasteful number, since it uses less digits than its factorization.

21145013335212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553688 (or 4553669 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 21145013335212 its reverse (21253331054112), we get a palindrome (42398344389324).

The spelling of 21145013335212 in words is "twenty-one trillion, one hundred forty-five billion, thirteen million, three hundred thirty-five thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 103 156 204 206 221 289 309 412 442 578 618 663 867 884 1156 1236 1326 1339 1734 1751 2652 2678 3468 3502 3757 4017 5253 5356 7004 7514 8034 10506 11271 15028 16068 21012 22542 22763 29767 45084 45526 59534 68289 89301 91052 119068 136578 178602 273156 357204 386971 773942 1160913 1547884 2321826 4553531 4643652 9107062 13660593 18214124 27321186 54642372 59195903 77410027 118391806 154820054 177587709 232230081 236783612 309640108 355175418 464460162 469013693 710350836 928920324 938027386 1006330351 1315970459 1407041079 1876054772 2012660702 2631940918 2814082158 3018991053 3947911377 4025321404 5263881836 5628164316 6037982106 6097178009 7895822754 7973232781 12075964212 12194356018 15791645508 15946465562 17107615967 18291534027 23919698343 24388712036 31892931124 34215231934 36583068054 47839396686 51322847901 68430463868 73166136108 95678793372 102645695802 103652026153 135544957277 205291391604 207304052306 271089914554 310956078459 406634871831 414608104612 542179829108 621912156918 813269743662 1243824313836 1626539487324 1762084444601 3524168889202 5286253333803 7048337778404 10572506667606 21145013335212