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200022010100 = 225211281647111
BaseRepresentation
bin1011101001001000111…
…1011010100011110100
3201010021212200220200022
42322102033122203310
511234121113310400
6231515553504312
720310506014253
oct2722217324364
9633255626608
10200022010100
1177913234770
1232922b72098
1315b28a574c3
149976db079a
15530a370b85
hex2e923da8f4

200022010100 has 72 divisors (see below), whose sum is σ = 475192460736. Its totient is φ = 72476320000.

The previous prime is 200022010091. The next prime is 200022010121. The reversal of 200022010100 is 1010220002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14456 + ... + 632655.

It is an arithmetic number, because the mean of its divisors is an integer number (6599895288).

Almost surely, 2200022010100 is an apocalyptic number.

200022010100 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 200022010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237596230368).

200022010100 is an abundant number, since it is smaller than the sum of its proper divisors (275170450636).

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

200022010100 is a wasteful number, since it uses less digits than its factorization.

200022010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647417 (or 647410 counting only the distinct ones).

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

Adding to 200022010100 its reverse (1010220002), we get a palindrome (201032230102).

The spelling of 200022010100 in words is "two hundred billion, twenty-two million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 281 550 562 1100 1124 1405 2810 3091 5620 6182 7025 12364 14050 15455 28100 30910 61820 77275 154550 309100 647111 1294222 2588444 3235555 6471110 7118221 12942220 14236442 16177775 28472884 32355550 35591105 64711100 71182210 142364420 177955525 181838191 355911050 363676382 711822100 727352764 909190955 1818381910 2000220101 3636763820 4000440202 4545954775 8000880404 9091909550 10001100505 18183819100 20002201010 40004402020 50005502525 100011005050 200022010100