Search a number
-
+
31020861040 = 2451347773821
BaseRepresentation
bin11100111000111111…
…001100011001110000
32222001220020000110021
4130320333030121300
51002012320023130
622130100413224
72145503653051
oct347077143160
988056200407
1031020861040
1112179516044
1260189a7214
132c04a275a0
141703c66728
15c1857b37a
hex738fcc670

31020861040 has 160 divisors (see below), whose sum is σ = 79523410176. Its totient is φ = 11182018560.

The previous prime is 31020861029. The next prime is 31020861041. The reversal of 31020861040 is 4016802013.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 31020860996 and 31020861014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020861041) 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 31 ways as a sum of consecutive naturals, for example, 37783830 + ... + 37784650.

Almost surely, 231020861040 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 31020861040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39761705088).

31020861040 is an abundant number, since it is smaller than the sum of its proper divisors (48502549136).

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

31020861040 is a wasteful number, since it uses less digits than its factorization.

31020861040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The spelling of 31020861040 in words is "thirty-one billion, twenty million, eight hundred sixty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 47 52 65 80 94 104 130 188 208 235 260 376 470 520 611 752 773 821 940 1040 1222 1546 1642 1880 2444 3055 3092 3284 3760 3865 4105 4888 6110 6184 6568 7730 8210 9776 10049 10673 12220 12368 13136 15460 16420 20098 21346 24440 30920 32840 36331 38587 40196 42692 48880 50245 53365 61840 65680 72662 77174 80392 85384 100490 106730 145324 154348 160784 170768 181655 192935 200980 213460 290648 308696 363310 385870 401960 426920 472303 501631 581296 617392 634633 726620 771740 803920 853840 944606 1003262 1269266 1453240 1543480 1889212 2006524 2361515 2508155 2538532 2906480 3086960 3173165 3778424 4013048 4723030 5016310 5077064 6346330 7556848 8026096 8250229 9446060 10032620 10154128 12692660 16500458 18892120 20065240 25385320 29827751 33000916 37784240 40130480 41251145 50770640 59655502 66001832 82502290 119311004 132003664 149138755 165004580 238622008 298277510 330009160 387760763 477244016 596555020 660018320 775521526 1193110040 1551043052 1938803815 2386220080 3102086104 3877607630 6204172208 7755215260 15510430520 31020861040