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211001021011020 = 223534711298976559
BaseRepresentation
bin101111111110011110000000…
…111001111001010001001100
31000200002111111221111110200210
4233332132000321321101030
5210124020042334323040
62024432310400522420
762305215000121512
oct5776360071712114
91020074457443623
10211001021011020
1161260037636a19
121b7b94b3020410
139097407098766
143a1670aa164b2
15195d94a1ca480
hexbfe780e7944c

211001021011020 has 96 divisors (see below), whose sum is σ = 593030332339200. Its totient is φ = 56055085899264.

The previous prime is 211001021011013. The next prime is 211001021011031. The reversal of 211001021011020 is 20110120100112.

It is a super-2 number, since 2×2110010210110202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211001021010987 and 211001021011005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19017501 + ... + 27994059.

It is an arithmetic number, because the mean of its divisors is an integer number (6177399295200).

Almost surely, 2211001021011020 is an apocalyptic number.

211001021011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211001021011020 is an abundant number, since it is smaller than the sum of its proper divisors (382029311328180).

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

211001021011020 is a wasteful number, since it uses less digits than its factorization.

211001021011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978047 (or 8978045 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211001021011020 its reverse (20110120100112), we get a palindrome (231111141111132).

It can be divided in two parts, 21100102 and 1011020, that added together give a palindrome (22111122).

The spelling of 211001021011020 in words is "two hundred eleven trillion, one billion, twenty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 347 694 1041 1129 1388 1735 2082 2258 3387 3470 4164 4516 5205 5645 6774 6940 10410 11290 13548 16935 20820 22580 33870 67740 391763 783526 1175289 1567052 1958815 2350578 3917630 4701156 5876445 7835260 8976559 11752890 17953118 23505780 26929677 35906236 44882795 53859354 89765590 107718708 134648385 179531180 269296770 538593540 3114865973 6229731946 9344597919 10134535111 12459463892 15574329865 18689195838 20269070222 30403605333 31148659730 37378391676 40538140444 46722989595 50672675555 60807210666 62297319460 93445979190 101345351110 121614421332 152018026665 186891958380 202690702220 304036053330 608072106660 3516683683517 7033367367034 10550051050551 14066734734068 17583418417585 21100102101102 35166836835170 42200204202204 52750255252755 70333673670340 105500510505510 211001021011020