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122132112200010 = 232511432868971393
BaseRepresentation
bin11011110001010000011001…
…001010011101000101001010
3121000102201022220001000020100
4123301100121022131011022
5112002003031210400020
61111430415012510230
734503516410645133
oct3361203112350512
9530381286030210
10122132112200010
1135a07a353a5270
121184603131b376
13531c016335753
14222332372cc8a
15e1be0ab1da90
hex6f141929d14a

122132112200010 has 96 divisors (see below), whose sum is σ = 354467153671488. Its totient is φ = 28919231631360.

The previous prime is 122132112199991. The next prime is 122132112200011. The reversal of 122132112200010 is 10002211231221.

122132112200010 is a `hidden beast` number, since 1 + 221 + 3 + 211 + 220 + 0 + 0 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (122132112200011) 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, 1434443127 + ... + 1434528266.

It is an arithmetic number, because the mean of its divisors is an integer number (3692366184078).

Almost surely, 2122132112200010 is an apocalyptic number.

122132112200010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122132112200010 is an abundant number, since it is smaller than the sum of its proper divisors (232335041471478).

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

122132112200010 is a wasteful number, since it uses less digits than its factorization.

122132112200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868971460 (or 2868971457 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122132112200010 its reverse (10002211231221), we get a palindrome (132134323431231).

The spelling of 122132112200010 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred twelve million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 43 45 55 66 86 90 99 110 129 165 198 215 258 330 387 430 473 495 645 774 946 990 1290 1419 1935 2365 2838 3870 4257 4730 7095 8514 14190 21285 42570 2868971393 5737942786 8606914179 14344856965 17213828358 25820742537 28689713930 31558685323 43034570895 51641485074 63117370646 86069141790 94676055969 123365769899 129103712685 157793426615 189352111938 246731539798 258207425370 284028167907 315586853230 370097309697 473380279845 568056335814 616828849495 740194619394 946760559690 1110291929091 1233657698990 1357023468889 1420140839535 1850486548485 2220583858182 2714046937778 2840281679070 3700973096970 4071070406667 5551459645455 6785117344445 8142140813334 11102919290910 12213211220001 13570234688890 20355352033335 24426422440002 40710704066670 61066056100005 122132112200010