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31232100200 = 23527223138563
BaseRepresentation
bin11101000101100101…
…000000011101101000
32222121121201002002212
4131011211000131220
51002430404201300
622203044144252
72153650320500
oct350545003550
988547632085
1031232100200
1112277785164
126077698088
132c39718482
141723d32a00
15c2bda5935
hex745940768

31232100200 has 144 divisors (see below), whose sum is σ = 88143331680. Its totient is φ = 10242503040.

The previous prime is 31232100167. The next prime is 31232100227. The reversal of 31232100200 is 200123213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156119 + ... + 294681.

It is an arithmetic number, because the mean of its divisors is an integer number (612106470).

Almost surely, 231232100200 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 31232100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44071665840).

31232100200 is an abundant number, since it is smaller than the sum of its proper divisors (56911231480).

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

31232100200 is a wasteful number, since it uses less digits than its factorization.

31232100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138616 (or 138600 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31232100200 its reverse (200123213), we get a palindrome (31432223413).

The spelling of 31232100200 in words is "thirty-one billion, two hundred thirty-two million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 23 25 28 35 40 46 49 50 56 70 92 98 100 115 140 161 175 184 196 200 230 245 280 322 350 392 460 490 575 644 700 805 920 980 1127 1150 1225 1288 1400 1610 1960 2254 2300 2450 3220 4025 4508 4600 4900 5635 6440 8050 9016 9800 11270 16100 22540 28175 32200 45080 56350 112700 138563 225400 277126 554252 692815 969941 1108504 1385630 1939882 2771260 3186949 3464075 3879764 4849705 5542520 6373898 6789587 6928150 7759528 9699410 12747796 13579174 13856300 15934745 19398820 22308643 24248525 25495592 27158348 27712600 31869490 33947935 38797640 44617286 48497050 54316696 63738980 67895870 79673725 89234572 96994100 111543215 127477960 135791740 156160501 159347450 169739675 178469144 193988200 223086430 271583480 312321002 318694900 339479350 446172860 557716075 624642004 637389800 678958700 780802505 892345720 1115432150 1249284008 1357917400 1561605010 2230864300 3123210020 3904012525 4461728600 6246420040 7808025050 15616050100 31232100200