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311041930212 = 2232133152340993
BaseRepresentation
bin1001000011010111000…
…10110011001111100100
31002201212001021012102100
410201223202303033210
520044003213231322
6354520220012100
731320623532606
oct4415342631744
91081761235370
10311041930212
1110aa04073962
1250347391030
132343c647520
14110a9809176
158156c81dac
hex486b8b33e4

311041930212 has 144 divisors (see below), whose sum is σ = 875731537408. Its totient is φ = 92438599680.

The previous prime is 311041930211. The next prime is 311041930219. The reversal of 311041930212 is 212039140113.

311041930212 is a `hidden beast` number, since 3 + 1 + 1 + 0 + 419 + 30 + 212 = 666.

It is not an unprimeable number, because it can be changed into a prime (311041930211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7567188 + ... + 7608180.

Almost surely, 2311041930212 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 311041930212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437865768704).

311041930212 is an abundant number, since it is smaller than the sum of its proper divisors (564689607196).

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

311041930212 is a wasteful number, since it uses less digits than its factorization.

311041930212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41570 (or 41565 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 311041930212 in words is "three hundred eleven billion, forty-one million, nine hundred thirty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 523 558 806 1046 1116 1209 1569 1612 2092 2418 3138 3627 4707 4836 6276 6799 7254 9414 13598 14508 16213 18828 20397 27196 32426 40794 40993 48639 61191 64852 81588 81986 97278 122382 122979 145917 163972 194556 210769 244764 245958 291834 368937 421538 491916 532909 583668 632307 737874 843076 1065818 1264614 1270783 1475748 1598727 1896921 2131636 2529228 2541566 3197454 3793842 3812349 4796181 5083132 6394908 7587684 7624698 9592362 11437047 15249396 16520179 19184724 21439339 22874094 33040358 42878678 45748188 49560537 64318017 66080716 85757356 99121074 128636034 148681611 192954051 198242148 257272068 278711407 297363222 385908102 557422814 594726444 664619509 771816204 836134221 1114845628 1329239018 1672268442 1993858527 2508402663 2658478036 3344536884 3987717054 5016805326 5981575581 7975434108 8640053617 10033610652 11963151162 17280107234 23926302324 25920160851 34560214468 51840321702 77760482553 103680643404 155520965106 311041930212