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23132331120 = 2435179475987
BaseRepresentation
bin10101100010110010…
…110101110001110000
32012201010120011202110
4111202302311301300
5334333334043440
614343222045320
71446145366413
oct254262656160
965633504673
1023132331120
1198a0663828
124596b79840
1322486129c2
1411962d7b7a
15905c4e080
hex562cb5c70

23132331120 has 160 divisors (see below), whose sum is σ = 76021348608. Its totient is φ = 5798662144.

The previous prime is 23132331113. The next prime is 23132331133. The reversal of 23132331120 is 2113323132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3860767 + ... + 3866753.

Almost surely, 223132331120 is an apocalyptic number.

23132331120 is a gapful number since it is divisible by the number (20) 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 23132331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38010674304).

23132331120 is an abundant number, since it is smaller than the sum of its proper divisors (52889017488).

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

23132331120 is a wasteful number, since it uses less digits than its factorization.

23132331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967 (or 6961 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23132331120 its reverse (2113323132), we get a palindrome (25245654252).

The spelling of 23132331120 in words is "twenty-three billion, one hundred thirty-two million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 947 1020 1360 1894 2040 2841 3788 4080 4735 5682 5987 7576 9470 11364 11974 14205 15152 16099 17961 18940 22728 23948 28410 29935 32198 35922 37880 45456 47896 48297 56820 59870 64396 71844 75760 80495 89805 95792 96594 101779 113640 119740 128792 143688 160990 179610 193188 203558 227280 239480 241485 257584 287376 305337 321980 359220 386376 407116 478960 482970 508895 610674 643960 718440 772752 814232 965940 1017790 1221348 1287920 1436880 1526685 1628464 1931880 2035580 2442696 3053370 3863760 4071160 4885392 5669689 6106740 8142320 11339378 12213480 17009067 22678756 24426960 28348445 34018134 45357512 56696890 68036268 85045335 90715024 96384713 113393780 136072536 170090670 192769426 226787560 272145072 289154139 340181340 385538852 453575120 481923565 578308278 680362680 771077704 963847130 1156616556 1360725360 1445770695 1542155408 1927694260 2313233112 2891541390 3855388520 4626466224 5783082780 7710777040 11566165560 23132331120