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312242020042010 = 251755713033253013
BaseRepresentation
bin100011011111110111000001…
…0101100000100010100011010
31111221120001020020102200100012
41012333232002230010110122
5311411233124112321020
63024030000451441522
7122524512223064522
oct10677560254042432
91457501206380305
10312242020042010
11905431081a9a73
122b02a7188b62a2
131052c3b0839a46
145716847098682
1526171e8c0b7c5
hex11bfb82b0451a

312242020042010 has 64 divisors (see below), whose sum is σ = 596213050984992. Its totient is φ = 117329428832256.

The previous prime is 312242020042009. The next prime is 312242020042081. The reversal of 312242020042010 is 10240020242213.

It can be written as a sum of positive squares in 16 ways, for example, as 122998059021601 + 189243961020409 = 11090449^2 + 13756597^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233968264 + ... + 1234221276.

Almost surely, 2312242020042010 is an apocalyptic number.

312242020042010 is a deficient number, since it is larger than the sum of its proper divisors (283971030942982).

312242020042010 is a wasteful number, since it uses less digits than its factorization.

312242020042010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266627.

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 312242020042010 its reverse (10240020242213), we get a palindrome (322482040284223).

The spelling of 312242020042010 in words is "three hundred twelve trillion, two hundred forty-two billion, twenty million, forty-two thousand, ten".

Divisors: 1 2 5 10 17 34 85 170 557 1114 2785 5570 9469 13033 18938 26066 47345 65165 94690 130330 221561 253013 443122 506026 1107805 1265065 2215610 2530130 4301221 7259381 8602442 14518762 21506105 36296905 43012210 72593810 123409477 140928241 246818954 281856482 617047385 704641205 1234094770 1409282410 2395780097 3297518429 4791560194 6595036858 11978900485 16487592145 23957800970 32975184290 56057813293 112115626586 280289066465 560578132930 1836717764953 3673435529906 9183588824765 18367177649530 31224202004201 62448404008402 156121010021005 312242020042010