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31023220029990 = 235193216169767
BaseRepresentation
bin1110000110111001010000…
…00000100111101000100110
311001211210100112200220221220
413003130220000213220212
513031241023311424430
6145551512011321210
76351232212214536
oct703345000475046
9131753315626856
1031023220029990
119980967a2a181
123590611750206
1314406282451b6
147937635d94c6
1538beb9d14110
hex1c3728027a26

31023220029990 has 128 divisors (see below), whose sum is σ = 78629049492480. Its totient is φ = 7833706007040.

The previous prime is 31023220029917. The next prime is 31023220030039. The reversal of 31023220029990 is 9992002232013.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 444634087 + ... + 444703853.

It is an arithmetic number, because the mean of its divisors is an integer number (614289449160).

Almost surely, 231023220029990 is an apocalyptic number.

31023220029990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31023220029990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39314524746240).

31023220029990 is an abundant number, since it is smaller than the sum of its proper divisors (47605829462490).

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

31023220029990 is a wasteful number, since it uses less digits than its factorization.

31023220029990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71995 (or 71957 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 31023220029990 in words is "thirty-one trillion, twenty-three billion, two hundred twenty million, twenty-nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 361 570 722 1083 1805 2161 2166 3610 4322 5415 6483 6859 10805 10830 12966 13718 20577 21610 32415 34295 41059 41154 64830 68590 69767 82118 102885 123177 139534 205295 205770 209301 246354 348835 410590 418602 615885 697670 780121 1046505 1231770 1325573 1560242 2093010 2340363 2651146 3900605 3976719 4680726 6627865 7801210 7953438 11701815 13255730 14822299 19883595 23403630 25185887 29644598 39767190 44466897 50371774 74111495 75557661 88933794 125929435 148222990 150766487 151115322 222334485 251858870 301532974 377788305 444668970 452299461 478531853 753832435 755576610 904598922 957063706 1435595559 1507664870 2261497305 2392659265 2864563253 2871191118 4522994610 4785318530 5729126506 7177977795 8593689759 14322816265 14355955590 17187379518 28645632530 42968448795 54426701807 85936897590 108853403614 163280105421 272133509035 326560210842 544267018070 816400527105 1034107334333 1632801054210 2068214668666 3102322002999 5170536671665 6204644005998 10341073343330 15511610014995 31023220029990