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200010100122100 = 22523412958604149
BaseRepresentation
bin101101011110100001111010…
…111110000010000111110100
3222020011210000202210102101201
4231132201322332002013310
5202203431141112401400
61545215212130102244
760062152510040602
oct5536417276020764
9866153022712351
10200010100122100
11588028972a25a4
121a523369a1a984
13877ab439335a8
14375677d1aa872
15181cac5b2806a
hexb5e87af821f4

200010100122100 has 36 divisors (see below), whose sum is σ = 434034641771500. Its totient is φ = 80001694517760.

The previous prime is 200010100122037. The next prime is 200010100122103. The reversal of 200010100122100 is 1221001010002.

It can be written as a sum of positive squares in 6 ways, for example, as 58124552610916 + 141885547511184 = 7623946^2 + 11911572^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200010100122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25889175 + ... + 32714974.

Almost surely, 2200010100122100 is an apocalyptic number.

200010100122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200010100122100 is an abundant number, since it is smaller than the sum of its proper divisors (234024541649400).

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

200010100122100 is a wasteful number, since it uses less digits than its factorization.

200010100122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58638292 (or 58638285 counting only the distinct ones).

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

Adding to 200010100122100 its reverse (1221001010002), we get a palindrome (201231101132102).

The spelling of 200010100122100 in words is "two hundred trillion, ten billion, one hundred million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 34129 68258 136516 170645 341290 682580 853225 1706450 3412900 58604149 117208298 234416596 293020745 586041490 1172082980 1465103725 2930207450 5860414900 2000101001221 4000202002442 8000404004884 10000505006105 20001010012210 40002020024420 50002525030525 100005050061050 200010100122100