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31100123121221 = 72111671543223919
BaseRepresentation
bin1110001001001000011111…
…10010101000011001000101
311002010010212001102201210002
413010210033302220121011
513034021023004334341
6150051111015411045
76356624020544600
oct704441762503105
9132103761381702
1031100123121221
119a005407a5920
1235a34b4383a85
131447962894ccb
1479737ad43337
1538debb49a29b
hex1c490fca8645

31100123121221 has 48 divisors (see below), whose sum is σ = 39728810741760. Its totient is φ = 24073030084320.

The previous prime is 31100123121181. The next prime is 31100123121239. The reversal of 31100123121221 is 12212132100113.

It is not a de Polignac number, because 31100123121221 - 214 = 31100123104837 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31100123121193 and 31100123121202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31100123121521) 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, 138778100 + ... + 139002018.

It is an arithmetic number, because the mean of its divisors is an integer number (827683557120).

Almost surely, 231100123121221 is an apocalyptic number.

It is an amenable number.

31100123121221 is a deficient number, since it is larger than the sum of its proper divisors (8628687620539).

31100123121221 is a wasteful number, since it uses less digits than its factorization.

31100123121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225654 (or 225647 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 31100123121221 its reverse (12212132100113), we get a palindrome (43312255221334).

The spelling of 31100123121221 in words is "thirty-one trillion, one hundred billion, one hundred twenty-three million, one hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 7 11 49 77 167 539 1169 1543 1837 8183 10801 12859 16973 75607 90013 118811 223919 257681 831677 1567433 1803767 2463109 2834491 10972031 12626369 17241763 19841437 37394473 120692341 138890059 261761311 345507017 411339203 1832329177 2418549119 2879374421 3800577187 16929843833 20155620947 26604040309 57699671839 186228282163 403897702873 634696390229 2827283920111 4442874731603 31100123121221