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2100022331020 = 2252345716636007
BaseRepresentation
bin11110100011110011000…
…101011100011010001100
321102202112011111201121121
4132203303011130122030
5233401321204043040
64244423102410324
7304502340201415
oct36436305343214
97382464451547
102100022331020
1173a683949579
1229abb92909a4
13123053892223
14738da88480c
153995e178c4a
hex1e8f315c68c

2100022331020 has 96 divisors (see below), whose sum is σ = 4615399047168. Its totient is φ = 801113144832.

The previous prime is 2100022330981. The next prime is 2100022331053. The reversal of 2100022331020 is 201332200012.

It is a junction number, because it is equal to n+sod(n) for n = 2100022330985 and 2100022331003.

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, 349592857 + ... + 349598863.

It is an arithmetic number, because the mean of its divisors is an integer number (48077073408).

Almost surely, 22100022331020 is an apocalyptic number.

2100022331020 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 2100022331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307699523584).

2100022331020 is an abundant number, since it is smaller than the sum of its proper divisors (2515376716148).

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

2100022331020 is a wasteful number, since it uses less digits than its factorization.

2100022331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8159 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 2100022331020 its reverse (201332200012), we get a palindrome (2301354531032).

The spelling of 2100022331020 in words is "two trillion, one hundred billion, twenty-two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 457 460 914 1663 1828 2285 3326 4570 6007 6652 8315 9140 10511 12014 16630 21022 24028 30035 33260 38249 42044 52555 60070 76498 105110 120140 138161 152996 191245 210220 276322 382490 552644 690805 759991 764980 1381610 1519982 2745199 2763220 3039964 3799955 5490398 7599910 9989641 10980796 13725995 15199820 17479793 19979282 27451990 34959586 39958564 49948205 54903980 63139577 69919172 87398965 99896410 126279154 174797930 199792820 229761743 252558308 315697885 349595860 459523486 631395770 919046972 1148808715 1262791540 2297617430 4565265937 4595234860 9130531874 18261063748 22826329685 45652659370 91305318740 105001116551 210002233102 420004466204 525005582755 1050011165510 2100022331020