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21021002202100 = 225217291063401119
BaseRepresentation
bin1001100011110010101010…
…10111100111101111110100
32202102120212210020100012211
410301321111113213233310
510223402003030431400
6112412525354423204
74266501013366555
oct461712527475764
982376783210184
1021021002202100
116774a587aa24a
122436017131b04
13b9636c7857a4
145295c9b0c32c
15266c10331dba
hex131e555e7bf4

21021002202100 has 144 divisors (see below), whose sum is σ = 50011449062400. Its totient is φ = 7633692702720.

The previous prime is 21021002202073. The next prime is 21021002202119. The reversal of 21021002202100 is 120220012012.

It is a happy number.

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, 52205341 + ... + 52606459.

It is an arithmetic number, because the mean of its divisors is an integer number (347301729600).

Almost surely, 221021002202100 is an apocalyptic number.

21021002202100 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 21021002202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25005724531200).

21021002202100 is an abundant number, since it is smaller than the sum of its proper divisors (28990446860300).

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

21021002202100 is a wasteful number, since it uses less digits than its factorization.

21021002202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402242 (or 402235 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 21021002202100 its reverse (120220012012), we get a palindrome (21141222214112).

The spelling of 21021002202100 in words is "twenty-one trillion, twenty-one billion, two million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1063 1450 1700 1972 2126 2465 2900 4252 4930 5315 9860 10630 12325 18071 21260 24650 26575 30827 36142 49300 53150 61654 72284 90355 106300 123308 154135 180710 308270 361420 401119 451775 524059 616540 770675 802238 903550 1048118 1541350 1604476 1807100 2005595 2096236 2620295 3082700 4011190 5240590 6819023 8022380 10027975 10481180 11632451 13101475 13638046 20055950 23264902 26202950 27276092 34095115 40111900 46529804 52405900 58162255 68190230 116324510 136380460 170475575 197751667 232649020 290811275 340951150 395503334 426389497 581622550 681902300 791006668 852778994 988758335 1163245100 1705557988 1977516670 2131947485 3955033340 4263894970 4943791675 7248621449 8527789940 9887583350 10659737425 12365295413 14497242898 19775166700 21319474850 24730590826 28994485796 36243107245 42638949700 49461181652 61826477065 72486214490 123652954130 144972428980 181215536225 210210022021 247305908260 309132385325 362431072450 420420044042 618264770650 724862144900 840840088084 1051050110105 1236529541300 2102100220210 4204200440420 5255250550525 10510501101050 21021002202100