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211213210232200 = 235211148364737697
BaseRepresentation
bin110000000001100011101000…
…010111100010010110001000
31000200211210012202221202012111
4300001203220113202112020
5210141004123304412300
62025114002000152104
762326436150544511
oct6001435027422610
91020753182852174
10211213210232200
116133202394a430
121b832650908634
1390b1421801537
143a22ab98cda08
1519642187ea9ba
hexc018e85e2588

211213210232200 has 96 divisors (see below), whose sum is σ = 536074750582560. Its totient is φ = 76753012377600.

The previous prime is 211213210232149. The next prime is 211213210232237. The reversal of 211213210232200 is 2232012312112.

It is a super-2 number, since 2×2112132102322002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 29106249 + ... + 35631448.

It is an arithmetic number, because the mean of its divisors is an integer number (5584111985235).

Almost surely, 2211213210232200 is an apocalyptic number.

211213210232200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211213210232200 is an abundant number, since it is smaller than the sum of its proper divisors (324861540350360).

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

211213210232200 is a wasteful number, since it uses less digits than its factorization.

211213210232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64739207 (or 64739198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 211213210232200 its reverse (2232012312112), we get a palindrome (213445222544312).

The spelling of 211213210232200 in words is "two hundred eleven trillion, two hundred thirteen billion, two hundred ten million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1483 2200 2966 5932 7415 11864 14830 16313 29660 32626 37075 59320 65252 74150 81565 130504 148300 163130 296600 326260 407825 652520 815650 1631300 3262600 64737697 129475394 258950788 323688485 517901576 647376970 712114667 1294753940 1424229334 1618442425 2589507880 2848458668 3236884850 3560573335 5696917336 6473769700 7121146670 12947539400 14242293340 17802866675 28484586680 35605733350 71211466700 96006004651 142422933400 192012009302 384024018604 480030023255 768048037208 960060046510 1056066051161 1920120093020 2112132102322 2400150116275 3840240186040 4224264204644 4800300232550 5280330255805 8448528409288 9600600465100 10560660511610 19201200930200 21121321023220 26401651279025 42242642046440 52803302558050 105606605116100 211213210232200