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210231142000 = 24531171134591
BaseRepresentation
bin1100001111001011000…
…0001010011001110000
3202002122100222112211121
43003302300022121300
511421023133021000
6240325010552024
721121503136225
oct3036260123160
9662570875747
10210231142000
1181181aa9660
12348b1b98614
1316a94b78659
14a264c1194c
15570678db1a
hex30f2c0a670

210231142000 has 160 divisors (see below), whose sum is σ = 562366291968. Its totient is φ = 75370400000.

The previous prime is 210231141997. The next prime is 210231142003. The reversal of 210231142000 is 241132012.

It is an interprime number because it is at equal distance from previous prime (210231141997) and next prime (210231142003).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210231142003) 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, 1494705 + ... + 1629295.

Almost surely, 2210231142000 is an apocalyptic number.

210231142000 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 210231142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281183145984).

210231142000 is an abundant number, since it is smaller than the sum of its proper divisors (352135149968).

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

210231142000 is a wasteful number, since it uses less digits than its factorization.

210231142000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134696 (or 134680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 210231142000 its reverse (241132012), we get a palindrome (210472274012).

The spelling of 210231142000 in words is "two hundred ten billion, two hundred thirty-one million, one hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 71 80 88 100 110 125 142 176 200 220 250 275 284 355 400 440 500 550 568 710 781 880 1000 1100 1136 1375 1420 1562 1775 2000 2200 2750 2840 3124 3550 3905 4400 5500 5680 6248 7100 7810 8875 11000 12496 14200 15620 17750 19525 22000 28400 31240 35500 39050 62480 71000 78100 97625 134591 142000 156200 195250 269182 312400 390500 538364 672955 781000 1076728 1345910 1480501 1562000 2153456 2691820 2961002 3364775 5383640 5922004 6729550 7402505 9555961 10767280 11844008 13459100 14805010 16823875 19111922 23688016 26918200 29610020 33647750 37012525 38223844 47779805 53836400 59220040 67295500 74025050 76447688 95559610 105115571 118440080 134591000 148050100 152895376 185062625 191119220 210231142 238899025 269182000 296100200 370125250 382238440 420462284 477798050 525577855 592200400 740250500 764476880 840924568 955596100 1051155710 1194495125 1480501000 1681849136 1911192200 2102311420 2388990250 2627889275 2961002000 3822384400 4204622840 4777980500 5255778550 8409245680 9555961000 10511557100 13139446375 19111922000 21023114200 26278892750 42046228400 52557785500 105115571000 210231142000