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100010022000 = 2435372381191
BaseRepresentation
bin101110100100100001…
…1111101010001110000
3100120010212111111211220
41131021003331101300
53114310031201000
6113535521505040
710140225106110
oct1351103752160
9316125444756
10100010022000
1139461060849
12174711a2180
13957a90b315
144baa50d040
1529050691a0
hex17490fd470

100010022000 has 160 divisors (see below), whose sum is σ = 368494224384. Its totient is φ = 22859424000.

The previous prime is 100010021987. The next prime is 100010022001. The reversal of 100010022000 is 220010001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 100010022000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010022001) 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, 1148596 + ... + 1232595.

Almost surely, 2100010022000 is an apocalyptic number.

100010022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010022000 is an abundant number, since it is smaller than the sum of its proper divisors (268484202384).

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

100010022000 is a wasteful number, since it uses less digits than its factorization.

100010022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381224 (or 2381208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 100010022000 its reverse (220010001), we get a palindrome (100230032001).

The spelling of 100010022000 in words is "one hundred billion, ten million, twenty-two thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 2381191 4762382 7143573 9524764 11905955 14287146 16668337 19049528 23811910 28574292 33336674 35717865 38099056 47623820 50005011 57148584 59529775 66673348 71435730 83341685 95247640 100010022 114297168 119059550 133346696 142871460 166683370 178589325 190495280 200020044 238119100 250025055 266693392 285742920 297648875 333366740 357178650 400040088 416708425 476238200 500050110 571485840 595297750 666733480 714357300 800080176 833416850 892946625 952476400 1000100220 1190595500 1250125275 1333466960 1428714600 1666833700 1785893250 2000200440 2083542125 2381191000 2500250550 2857429200 3333667400 3571786500 4000400880 4167084250 4762382000 5000501100 6250626375 6667334800 7143573000 8334168500 10001002200 12501252750 14287146000 16668337000 20002004400 25002505500 33336674000 50005011000 100010022000