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31232120200 = 23521944318553
BaseRepresentation
bin11101000101100101…
…000101010110001000
32222121121202002112121
4131011211011112020
51002430410321300
622203044421024
72153650433011
oct350545052610
988547662477
1031232120200
1112277799196
1260776a7774
132c397245c8
141723d3a008
15c2bdab81a
hex745945588

31232120200 has 96 divisors (see below), whose sum is σ = 76613176800. Its totient is φ = 11807976960.

The previous prime is 31232120191. The next prime is 31232120263. The reversal of 31232120200 is 202123213.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1674124 + ... + 1692676.

It is an arithmetic number, because the mean of its divisors is an integer number (798053925).

Almost surely, 231232120200 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 31232120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38306588400).

31232120200 is an abundant number, since it is smaller than the sum of its proper divisors (45381056600).

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

31232120200 is a wasteful number, since it uses less digits than its factorization.

31232120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19031 (or 19022 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31232120200 its reverse (202123213), we get a palindrome (31434243413).

The spelling of 31232120200 in words is "thirty-one billion, two hundred thirty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 443 475 760 886 950 1772 1900 2215 3544 3800 4430 8417 8860 11075 16834 17720 18553 22150 33668 37106 42085 44300 67336 74212 84170 88600 92765 148424 168340 185530 210425 336680 352507 371060 420850 463825 705014 742120 841700 927650 1410028 1683400 1762535 1855300 2820056 3525070 3710600 7050140 8218979 8812675 14100280 16437958 17625350 32875916 35250700 41094895 65751832 70501400 82189790 156160601 164379580 205474475 312321202 328759160 410948950 624642404 780803005 821897900 1249284808 1561606010 1643795800 3123212020 3904015025 6246424040 7808030050 15616060100 31232120200