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210020100100 = 225223797114571
BaseRepresentation
bin1100001110011000101…
…1000110100000000100
3202002002122212111202221
43003212023012200010
511420110121200400
6240252031342124
721113331252556
oct3034613064004
9662078774687
10210020100100
1181083964768
1234853381944
1316a602264a5
14a244b974d6
1556e2ea2c1a
hex30e62c6804

210020100100 has 72 divisors (see below), whose sum is σ = 476159398848. Its totient is φ = 80253993600.

The previous prime is 210020100097. The next prime is 210020100113. The reversal of 210020100100 is 1001020012.

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, 1775815 + ... + 1890385.

It is an arithmetic number, because the mean of its divisors is an integer number (6613324984).

Almost surely, 2210020100100 is an apocalyptic number.

210020100100 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 210020100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238079699424).

210020100100 is an abundant number, since it is smaller than the sum of its proper divisors (266139298748).

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

210020100100 is a wasteful number, since it uses less digits than its factorization.

210020100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115405 (or 115398 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 210020100100 its reverse (1001020012), we get a palindrome (211021120112).

The spelling of 210020100100 in words is "two hundred ten billion, twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 797 1150 1594 2300 3188 3985 7970 15940 18331 19925 36662 39850 73324 79700 91655 114571 183310 229142 366620 458275 458284 572855 916550 1145710 1833100 2291420 2635133 2864275 5270266 5728550 10540532 11457100 13175665 26351330 52702660 65878325 91313087 131756650 182626174 263513300 365252348 456565435 913130870 1826261740 2100201001 2282827175 4200402002 4565654350 8400804004 9131308700 10501005005 21002010010 42004020020 52505025025 105010050050 210020100100