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31240210500234 = 236311353751059
BaseRepresentation
bin1110001101001101011011…
…01001100100101010001010
311002121112102222112221000000
413012212231221210222022
513043314422342001414
6150235315442223430
76403013352612321
oct706465551445212
9132545388487000
1031240210500234
119a5499844011a
12360668b354b76
131457c2959bc58
147a0069dd90b8
15392969bcbb09
hex1c69ada64a8a

31240210500234 has 112 divisors (see below), whose sum is σ = 72531509379840. Its totient is φ = 10076545463040.

The previous prime is 31240210500221. The next prime is 31240210500241. The reversal of 31240210500234 is 43200501204213.

31240210500234 is a `hidden beast` number, since 3 + 12 + 402 + 10 + 5 + 0 + 0 + 234 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31240210500198 and 31240210500207.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 611819797 + ... + 611870855.

It is an arithmetic number, because the mean of its divisors is an integer number (647602762320).

Almost surely, 231240210500234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31240210500234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36265754689920).

31240210500234 is an abundant number, since it is smaller than the sum of its proper divisors (41291298879606).

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

31240210500234 is a wasteful number, since it uses less digits than its factorization.

31240210500234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64647 (or 64632 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 31240210500234 its reverse (43200501204213), we get a palindrome (74440711704447).

The spelling of 31240210500234 in words is "thirty-one trillion, two hundred forty billion, two hundred ten million, five hundred thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 243 279 486 558 729 837 1458 1674 2511 5022 7533 13537 15066 22599 27074 40611 45198 51059 81222 102118 121833 153177 243666 306354 365499 419647 459531 730998 839294 919062 1096497 1258941 1378593 1582829 2192994 2517882 2757186 3165658 3289491 3776823 4135779 4748487 6578982 7553646 8271558 9496974 9868473 11330469 12407337 14245461 19736946 22660938 24814674 28490922 33991407 37222011 42736383 67982814 74444022 85472766 101974221 128209149 203948442 256418298 305922663 384627447 611845326 691185683 769254894 1153882341 1382371366 2073557049 2307764682 4147114098 6220671147 12441342294 18662013441 21426756173 37324026882 42853512346 55986040323 64280268519 111972080646 128560537038 167958120969 192840805557 335916241938 385681611114 503874362907 578522416671 1007748725814 1157044833342 1735567250013 3471134500026 5206701750039 10413403500078 15620105250117 31240210500234