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31232213430 = 235117111231187
BaseRepresentation
bin11101000101100101…
…011100000110110110
32222121121220211102120
4131011211130012312
51002430421312210
622203050420410
72153651301555
oct350545340666
988547824376
1031232213430
1112277852240
126077731706
132c39757b82
141723d61d9c
15c2bdc9270
hex74595c1b6

31232213430 has 128 divisors (see below), whose sum is σ = 83067088896. Its totient is φ = 7451875200.

The previous prime is 31232213417. The next prime is 31232213443. The reversal of 31232213430 is 3431223213.

It is an interprime number because it is at equal distance from previous prime (31232213417) and next prime (31232213443).

It is a self number, because there is not a number n which added to its sum of digits gives 31232213430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26311297 + ... + 26312483.

It is an arithmetic number, because the mean of its divisors is an integer number (648961632).

Almost surely, 231232213430 is an apocalyptic number.

31232213430 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 31232213430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41533544448).

31232213430 is an abundant number, since it is smaller than the sum of its proper divisors (51834875466).

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

31232213430 is a wasteful number, since it uses less digits than its factorization.

31232213430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31232213430 its reverse (3431223213), we get a palindrome (34663436643).

The spelling of 31232213430 in words is "thirty-one billion, two hundred thirty-two million, two hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 71 110 142 165 213 330 355 426 710 781 1065 1123 1187 1562 2130 2246 2343 2374 3369 3561 3905 4686 5615 5935 6738 7122 7810 11230 11715 11870 12353 13057 16845 17805 23430 24706 26114 33690 35610 37059 39171 61765 65285 74118 78342 79733 84277 123530 130570 159466 168554 185295 195855 239199 252831 370590 391710 398665 421385 478398 505662 797330 842770 877063 927047 1195995 1264155 1333001 1754126 1854094 2391990 2528310 2631189 2666002 2781141 3999003 4385315 4635235 5262378 5562282 6665005 7998006 8770630 9270470 13155945 13330010 13905705 14663011 19995015 26311890 27811410 29326022 39990030 43989033 73315055 87978066 94643071 146630110 189286142 219945165 283929213 439890330 473215355 567858426 946430710 1041073781 1419646065 2082147562 2839292130 3123221343 5205368905 6246442686 10410737810 15616106715 31232213430