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1000022142020 = 2251137699117573
BaseRepresentation
bin11101000110101011111…
…01101110110001000100
310112121020021002100121212
432203111331232301010
5112341021132021040
62043223121030552
7132151323646016
oct16432575566104
93477207070555
101000022142020
1135611a479590
12141989485458
13733bca4bc25
143658936c1b6
151b02d68bd65
hexe8d5f6ec44

1000022142020 has 96 divisors (see below), whose sum is σ = 2353348118016. Its totient is φ = 353745446400.

The previous prime is 1000022142001. The next prime is 1000022142037. The reversal of 1000022142020 is 202412200001.

It is a junction number, because it is equal to n+sod(n) for n = 1000022141986 and 1000022142004.

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, 56897954 + ... + 56915526.

It is an arithmetic number, because the mean of its divisors is an integer number (24514042896).

Almost surely, 21000022142020 is an apocalyptic number.

1000022142020 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 1000022142020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176674059008).

1000022142020 is an abundant number, since it is smaller than the sum of its proper divisors (1353325975996).

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

1000022142020 is a wasteful number, since it uses less digits than its factorization.

1000022142020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24621 (or 24619 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 1000022142020 its reverse (202412200001), we get a palindrome (1202434342021).

The spelling of 1000022142020 in words is "one trillion, twenty-two million, one hundred forty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 6991 8140 13982 17573 27964 34955 35146 69910 70292 76901 87865 139820 153802 175730 193303 258667 307604 351460 384505 386606 517334 650201 769010 773212 966515 1034668 1293335 1300402 1538020 1933030 2586670 2600804 2845337 3251005 3866060 5173340 5690674 6502010 7152211 11381348 13004020 14226685 14304422 28453370 28608844 35761055 56906740 71522110 122852843 143044220 245705686 491411372 614264215 1228528430 1351381273 2457056860 2702762546 4545555191 5405525092 6756906365 9091110382 13513812730 18182220764 22727775955 27027625460 45455551910 50001107101 90911103820 100002214202 200004428404 250005535505 500011071010 1000022142020