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100212002202 = 231323112949477
BaseRepresentation
bin101110101010100011…
…0011100110110011010
3100120122221120011121010
41131111012130312122
53120213233032302
6114011534554350
710145226651504
oct1352506346632
9316587504533
10100212002202
1139555076534
12175089689b6
1395b0709a30
144bc9288d74
152917b6516c
hex175519cd9a

100212002202 has 64 divisors (see below), whose sum is σ = 225429684480. Its totient is φ = 29467113984.

The previous prime is 100212002201. The next prime is 100212002213. The reversal of 100212002202 is 202200212001.

It is not an unprimeable number, because it can be changed into a prime (100212002201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2000688 + ... + 2050164.

It is an arithmetic number, because the mean of its divisors is an integer number (3522338820).

Almost surely, 2100212002202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212002202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112714842240).

100212002202 is an abundant number, since it is smaller than the sum of its proper divisors (125217682278).

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

100212002202 is a wasteful number, since it uses less digits than its factorization.

100212002202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50647.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100212002202 its reverse (202200212001), we get a palindrome (302412214203).

The spelling of 100212002202 in words is "one hundred billion, two hundred twelve million, two thousand, two hundred two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1129 1794 2258 3387 6774 14677 25967 29354 44031 49477 51934 77901 88062 98954 148431 155802 296862 337571 643201 675142 1012713 1137971 1286402 1929603 2025426 2275942 3413913 3859206 6827826 14793623 29587246 44380869 55859533 88761738 111719066 167578599 335157198 726173929 1284769259 1452347858 2178521787 2569538518 3854307777 4357043574 7708615554 16702000367 33404000734 50106001101 100212002202