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31211302032 = 2432476137523
BaseRepresentation
bin11101000100010101…
…101010110010010000
32222120011120102101100
4131010111222302100
51002410043131112
622201022304400
72153305455441
oct350425526220
988504512340
1031211302032
1112266a6a199
126070728100
132c35315971
14172127b2c8
15c2a1482dc
hex74456ac90

31211302032 has 120 divisors (see below), whose sum is σ = 89364173184. Its totient is φ = 10164448512.

The previous prime is 31211302027. The next prime is 31211302037. The reversal of 31211302032 is 23020311213.

It is an interprime number because it is at equal distance from previous prime (31211302027) and next prime (31211302037).

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

It is a junction number, because it is equal to n+sod(n) for n = 31211301996 and 31211302014.

It is not an unprimeable number, because it can be changed into a prime (31211302037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4145023 + ... + 4152545.

Almost surely, 231211302032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31211302032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44682086592).

31211302032 is an abundant number, since it is smaller than the sum of its proper divisors (58152871152).

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

31211302032 is a wasteful number, since it uses less digits than its factorization.

31211302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8197 (or 8188 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31211302032 its reverse (23020311213), we get a palindrome (54231613245).

The spelling of 31211302032 in words is "thirty-one billion, two hundred eleven million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 613 752 846 1128 1226 1692 1839 2256 2452 3384 3678 4904 5517 6768 7356 7523 9808 11034 14712 15046 22068 22569 28811 29424 30092 44136 45138 57622 60184 67707 86433 88272 90276 115244 120368 135414 172866 180552 230488 259299 270828 345732 353581 361104 460976 518598 541656 691464 707162 1037196 1060743 1083312 1382928 1414324 2074392 2121486 2828648 3182229 4148784 4242972 4611599 5657296 6364458 8485944 9223198 12728916 13834797 16971888 18446396 25457832 27669594 36892792 41504391 50915664 55339188 73785584 83008782 110678376 166017564 216745153 221356752 332035128 433490306 650235459 664070256 866980612 1300470918 1733961224 1950706377 2600941836 3467922448 3901412754 5201883672 7802825508 10403767344 15605651016 31211302032