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20442201000100 = 22521173847251653
BaseRepresentation
bin1001010010111100100100…
…01000010000100010100100
32200101020220010122210200021
410221132102020100202210
510134411111424000400
6111251003440124524
74206620540346415
oct451362210204244
980336803583607
1020442201000100
1165715415a0420
122361a03906744
13b538ca996249
1450959d04980c
15256b365ce71a
hex1297922108a4

20442201000100 has 72 divisors (see below), whose sum is σ = 48393112517568. Its totient is φ = 7433397436800.

The previous prime is 20442201000083. The next prime is 20442201000101. The reversal of 20442201000100 is 100010224402.

It is not an unprimeable number, because it can be changed into a prime (20442201000101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81105874 + ... + 81357526.

It is an arithmetic number, because the mean of its divisors is an integer number (672126562744).

Almost surely, 220442201000100 is an apocalyptic number.

20442201000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20442201000100 is an abundant number, since it is smaller than the sum of its proper divisors (27950911517468).

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

20442201000100 is a wasteful number, since it uses less digits than its factorization.

20442201000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325525 (or 325518 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 20442201000100 its reverse (100010224402), we get a palindrome (20542211224502).

The spelling of 20442201000100 in words is "twenty trillion, four hundred forty-two billion, two hundred one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 73847 147694 251653 295388 369235 503306 738470 812317 1006612 1258265 1476940 1624634 1846175 2516530 2768183 3249268 3692350 4061585 5033060 5536366 6291325 7384700 8123170 11072732 12582650 13840915 16246340 20307925 25165300 27681830 40615850 55363660 69204575 81231700 138409150 276818300 18583819091 37167638182 74335276364 92919095455 185838190910 204422010001 371676381820 408844020002 464595477275 817688040004 929190954550 1022110050005 1858381909100 2044220100010 4088440200020 5110550250025 10221100500050 20442201000100