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23010031620 = 223255310132381
BaseRepresentation
bin10101011011100000…
…010011100000000100
32012101121102201101100
4111123200103200010
5334111032002440
614323132500100
71443132020202
oct253340234004
965347381340
1023010031620
119838621364
12456201a630
132229192234
141183d80072
158ea142230
hex55b813804

23010031620 has 144 divisors (see below), whose sum is σ = 71214120432. Its totient is φ = 6011765760.

The previous prime is 23010031589. The next prime is 23010031621. The reversal of 23010031620 is 2613001032.

23010031620 is a `hidden beast` number, since 2 + 3 + 0 + 10 + 0 + 31 + 620 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 9668395584 + 13341636036 = 98328^2 + 115506^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23010031593 and 23010031602.

It is not an unprimeable number, because it can be changed into a prime (23010031621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9662830 + ... + 9665210.

It is an arithmetic number, because the mean of its divisors is an integer number (494542503).

Almost surely, 223010031620 is an apocalyptic number.

23010031620 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 23010031620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35607060216).

23010031620 is an abundant number, since it is smaller than the sum of its proper divisors (48204088812).

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

23010031620 is a wasteful number, since it uses less digits than its factorization.

23010031620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462 (or 3457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23010031620 its reverse (2613001032), we get a palindrome (25623032652).

The spelling of 23010031620 in words is "twenty-three billion, ten million, thirty-one thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1013 1060 1590 1908 2026 2381 2385 3039 3180 4052 4762 4770 5065 6078 7143 9117 9524 9540 10130 11905 12156 14286 15195 18234 20260 21429 23810 28572 30390 35715 36468 42858 45585 47620 53689 60780 71430 85716 91170 107145 107378 126193 142860 161067 182340 214290 214756 252386 268445 322134 378579 428580 483201 504772 536890 630965 644268 757158 805335 966402 1073780 1135737 1261930 1514316 1610670 1892895 1932804 2271474 2411953 2416005 2523860 3221340 3785790 4542948 4823906 4832010 5678685 7235859 7571580 9647812 9664020 11357370 12059765 14471718 21707577 22714740 24119530 28943436 36179295 43415154 48239060 72358590 86830308 108537885 127833509 144717180 217075770 255667018 383500527 434151540 511334036 639167545 767001054 1150501581 1278335090 1534002108 1917502635 2301003162 2556670180 3835005270 4602006324 5752507905 7670010540 11505015810 23010031620