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31232223120 = 2435725772337
BaseRepresentation
bin11101000101100101…
…011110011110010000
32222121121221022201110
4131011211132132100
51002430422114440
622203050533320
72153651342040
oct350545363620
988547838643
1031232223120
111227785954a
126077737240
132c3975c3c7
141723d65720
15c2bdcc080
hex74595e790

31232223120 has 160 divisors (see below), whose sum is σ = 111083390208. Its totient is φ = 7110918144.

The previous prime is 31232223091. The next prime is 31232223173. The reversal of 31232223120 is 2132223213.

It is a happy number.

It is a super-2 number, since 2×312322231202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395592 + ... + 467928.

Almost surely, 231232223120 is an apocalyptic number.

31232223120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31232223120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55541695104).

31232223120 is an abundant number, since it is smaller than the sum of its proper divisors (79851167088).

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

31232223120 is a wasteful number, since it uses less digits than its factorization.

31232223120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72617 (or 72611 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 31232223120 its reverse (2132223213), we get a palindrome (33364446333).

The spelling of 31232223120 in words is "thirty-one billion, two hundred thirty-two million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 257 280 336 420 514 560 771 840 1028 1285 1542 1680 1799 2056 2570 3084 3598 3855 4112 5140 5397 6168 7196 7710 8995 10280 10794 12336 14392 15420 17990 20560 21588 26985 28784 30840 35980 43176 53970 61680 71960 72337 86352 107940 143920 144674 215880 217011 289348 361685 431760 434022 506359 578696 723370 868044 1012718 1085055 1157392 1446740 1519077 1736088 2025436 2170110 2531795 2893480 3038154 3472176 4050872 4340220 5063590 5786960 6076308 7595385 8101744 8680440 10127180 12152616 15190770 17360880 18590609 20254360 24305232 30381540 37181218 40508720 55771827 60763080 74362436 92953045 111543654 121526160 130134263 148724872 185906090 223087308 260268526 278859135 297449744 371812180 390402789 446174616 520537052 557718270 650671315 743624360 780805578 892349232 1041074104 1115436540 1301342630 1487248720 1561611156 1952013945 2082148208 2230873080 2602685260 3123222312 3904027890 4461746160 5205370520 6246444624 7808055780 10410741040 15616111560 31232223120