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23131023000 = 2335318314211
BaseRepresentation
bin10101100010101101…
…110110011010011000
32012201001002201100120
4111202231312122120
5334333020214000
614343134033240
71446131310561
oct254255663230
965631081316
1023131023000
11989a94aa38
124596648820
132248275477
141196077168
15905a916a0
hex562b76698

23131023000 has 128 divisors (see below), whose sum is σ = 72225354240. Its totient is φ = 6163440000.

The previous prime is 23131022989. The next prime is 23131023001. The reversal of 23131023000 is 32013132.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23131023001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5490895 + ... + 5495105.

It is an arithmetic number, because the mean of its divisors is an integer number (564260580).

Almost surely, 223131023000 is an apocalyptic number.

23131023000 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 23131023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36112677120).

23131023000 is an abundant number, since it is smaller than the sum of its proper divisors (49094331240).

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

23131023000 is a wasteful number, since it uses less digits than its factorization.

23131023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23131023000 its reverse (32013132), we get a palindrome (23163036132).

The spelling of 23131023000 in words is "twenty-three billion, one hundred thirty-one million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1831 3000 3662 4211 5493 7324 8422 9155 10986 12633 14648 16844 18310 21055 21972 25266 27465 33688 36620 42110 43944 45775 50532 54930 63165 73240 84220 91550 101064 105275 109860 126330 137325 168440 183100 210550 219720 228875 252660 274650 315825 366200 421100 457750 505320 526375 549300 631650 686625 842200 915500 1052750 1098600 1263300 1373250 1579125 1831000 2105500 2526600 2746500 3158250 4211000 5493000 6316500 7710341 12633000 15420682 23131023 30841364 38551705 46262046 61682728 77103410 92524092 115655115 154206820 185048184 192758525 231310230 308413640 385517050 462620460 578275575 771034100 925240920 963792625 1156551150 1542068200 1927585250 2313102300 2891377875 3855170500 4626204600 5782755750 7710341000 11565511500 23131023000