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1000021012120 = 2351323591417183
BaseRepresentation
bin11101000110101011110…
…01011010111010011000
310112121020011221221200201
432203111321122322120
5112341020334341440
62043223040511544
7132151311231604
oct16432571327230
93477204857621
101000021012120
11356119877689
1214198901b5b4
13733bc744850
1436589156504
151b02d51719a
hexe8d5e5ae98

1000021012120 has 128 divisors (see below), whose sum is σ = 2571338649600. Its totient is φ = 347198252544.

The previous prime is 1000021012037. The next prime is 1000021012141. The reversal of 1000021012120 is 212101200001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1000021012097 and 1000021012106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2952 + ... + 1414231.

It is an arithmetic number, because the mean of its divisors is an integer number (20088583200).

Almost surely, 21000021012120 is an apocalyptic number.

1000021012120 is a gapful number since it is divisible by the number (10) 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 1000021012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285669324800).

1000021012120 is an abundant number, since it is smaller than the sum of its proper divisors (1571317637480).

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

1000021012120 is a wasteful number, since it uses less digits than its factorization.

1000021012120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417289 (or 1417285 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1000021012120 its reverse (212101200001), we get a palindrome (1212122212121).

The spelling of 1000021012120 in words is "one trillion, twenty-one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 59 65 92 104 115 118 130 184 230 236 260 295 299 460 472 520 590 598 767 920 1180 1196 1357 1495 1534 2360 2392 2714 2990 3068 3835 5428 5980 6136 6785 7670 10856 11960 13570 15340 17641 27140 30680 35282 54280 70564 88205 141128 176410 352820 705640 1417183 2834366 5668732 7085915 11337464 14171830 18423379 28343660 32595209 36846758 56687320 65190418 73693516 83613797 92116895 130380836 147387032 162976045 167227594 184233790 260761672 325952090 334455188 368467580 418068985 423737717 651904180 668910376 736935160 836137970 847475434 1086979361 1303808360 1672275940 1694950868 1923117331 2118688585 2173958722 3344551880 3389901736 3846234662 4237377170 4347917444 5434896805 7692469324 8474754340 8695834888 9615586655 10869793610 15384938648 16949508680 19231173310 21739587220 25000525303 38462346620 43479174440 50001050606 76924693240 100002101212 125002626515 200004202424 250005253030 500010506060 1000021012120