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21322123101300 = 22352773139087561
BaseRepresentation
bin1001101100100011100011…
…00100101100010001110100
32210111101010102022221121010
410312101301210230101310
510243320202003220200
6113203125332352220
74330321041661020
oct466216144542164
983441112287533
1021322123101300
11688073069571a
122484453a75670
13bb888a8a1858
14539dd3a6d380
1526e986104150
hex13647192c474

21322123101300 has 144 divisors (see below), whose sum is σ = 71470978259072. Its totient is φ = 4806866073600.

The previous prime is 21322123101281. The next prime is 21322123101311. The reversal of 21322123101300 is 310132122312.

It is a super-2 number, since 2×213221231013002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 69390481 + ... + 69697080.

Almost surely, 221322123101300 is an apocalyptic number.

21322123101300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21322123101300 is an abundant number, since it is smaller than the sum of its proper divisors (50148855157772).

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

21322123101300 is a wasteful number, since it uses less digits than its factorization.

21322123101300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139087658 (or 139087651 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21322123101300 its reverse (310132122312), we get a palindrome (21632255223612).

The spelling of 21322123101300 in words is "twenty-one trillion, three hundred twenty-two billion, one hundred twenty-three million, one hundred one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 73 75 84 100 105 140 146 150 175 210 219 292 300 350 365 420 438 511 525 700 730 876 1022 1050 1095 1460 1533 1825 2044 2100 2190 2555 3066 3650 4380 5110 5475 6132 7300 7665 10220 10950 12775 15330 21900 25550 30660 38325 51100 76650 153300 139087561 278175122 417262683 556350244 695437805 834525366 973612927 1390875610 1669050732 1947225854 2086313415 2781751220 2920838781 3477189025 3894451708 4172626830 4868064635 5841677562 6954378050 8345253660 9736129270 10153391953 10431567075 11683355124 13908756100 14604193905 19472258540 20306783906 20863134150 24340323175 29208387810 30460175859 40613567812 41726268300 48680646350 50766959765 58416775620 60920351718 71073743671 73020969525 97361292700 101533919530 121840703436 142147487342 146041939050 152300879295 203067839060 213221231013 253834798825 284294974684 292083878100 304601758590 355368718355 426442462026 507669597650 609203517180 710737436710 761504396475 852884924052 1015339195300 1066106155065 1421474873420 1523008792950 1776843591775 2132212310130 3046017585900 3553687183550 4264424620260 5330530775325 7107374367100 10661061550650 21322123101300