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31330211100 = 22352193617877
BaseRepresentation
bin11101001011011011…
…010001010100011100
32222212110022121221220
4131023123101110130
51003131013223400
622220511053340
72156251254216
oct351333212434
988773277856
1031330211100
11123180a6351
1260a4511250
132c53b4a166
141732d915b6
15c357d57a0
hex74b6d151c

31330211100 has 144 divisors (see below), whose sum is σ = 91370172768. Its totient is φ = 8288501760.

The previous prime is 31330211089. The next prime is 31330211117. The reversal of 31330211100 is 111203313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 31330211100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35723862 + ... + 35724738.

Almost surely, 231330211100 is an apocalyptic number.

31330211100 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 31330211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45685086384).

31330211100 is an abundant number, since it is smaller than the sum of its proper divisors (60039961668).

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

31330211100 is a wasteful number, since it uses less digits than its factorization.

31330211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 31330211100 its reverse (111203313), we get a palindrome (31441414413).

The spelling of 31330211100 in words is "thirty-one billion, three hundred thirty million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 193 300 386 579 617 772 877 965 1158 1234 1754 1851 1930 2316 2468 2631 2895 3085 3508 3702 3860 4385 4825 5262 5790 6170 7404 8770 9255 9650 10524 11580 12340 13155 14475 15425 17540 18510 19300 21925 26310 28950 30850 37020 43850 46275 52620 57900 61700 65775 87700 92550 119081 131550 169261 185100 238162 263100 338522 357243 476324 507783 541109 595405 677044 714486 846305 1015566 1082218 1190810 1428972 1623327 1692610 1786215 2031132 2164436 2381620 2538915 2705545 2977025 3246654 3385220 3572430 4231525 5077830 5411090 5954050 6493308 7144860 8116635 8463050 8931075 10155660 10822180 11908100 12694575 13527725 16233270 16926100 17862150 25389150 27055450 32466540 35724300 40583175 50778300 54110900 81166350 104434037 162332700 208868074 313302111 417736148 522170185 626604222 1044340370 1253208444 1566510555 2088680740 2610850925 3133021110 5221701850 6266042220 7832552775 10443403700 15665105550 31330211100