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210010120001000 = 23531167284952673
BaseRepresentation
bin101111110000000011001010…
…100110100001010111101000
31000112120202211100102121221122
4233300003022212201113220
5210011301211210013000
62022353152305154412
762143505356401164
oct5760031246412750
91015522740377848
10210010120001000
1160a08878873960
121b67945032ba08
139024b3bc2c077
1439c0788bd1ca4
151942ca2696085
hexbf00ca9a15e8

210010120001000 has 128 divisors (see below), whose sum is σ = 544100033842560. Its totient is φ = 75227505408000.

The previous prime is 210010120000981. The next prime is 210010120001009. The reversal of 210010120001000 is 100021010012.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (210010120001009) 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, 141739337 + ... + 143213336.

It is an arithmetic number, because the mean of its divisors is an integer number (4250781514395).

Almost surely, 2210010120001000 is an apocalyptic number.

210010120001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210010120001000 is an abundant number, since it is smaller than the sum of its proper divisors (334089913841560).

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

210010120001000 is a wasteful number, since it uses less digits than its factorization.

210010120001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284952772 (or 284952758 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210010120001000 its reverse (100021010012), we get a palindrome (210110141011012).

The spelling of 210010120001000 in words is "two hundred ten trillion, ten billion, one hundred twenty million, one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 67 88 100 110 125 134 200 220 250 268 275 335 440 500 536 550 670 737 1000 1100 1340 1375 1474 1675 2200 2680 2750 2948 3350 3685 5500 5896 6700 7370 8375 11000 13400 14740 16750 18425 29480 33500 36850 67000 73700 92125 147400 184250 368500 737000 284952673 569905346 1139810692 1424763365 2279621384 2849526730 3134479403 5699053460 6268958806 7123816825 11398106920 12537917612 14247633650 15672397015 19091829091 25075835224 28495267300 31344794030 35619084125 38183658182 56990534600 62689588060 71238168250 76367316364 78361985075 95459145455 125379176120 142476336500 152734632728 156723970150 190918290910 210010120001 284952673000 313447940300 381836581820 391809925375 420020240002 477295727275 626895880600 763673163640 783619850750 840040480004 954591454550 1050050600005 1567239701500 1680080960008 1909182909100 2100101200010 2386478636375 3134479403000 3818365818200 4200202400020 4772957272750 5250253000025 8400404800040 9545914545500 10500506000050 19091829091000 21001012000100 26251265000125 42002024000200 52502530000250 105005060000500 210010120001000