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100210001021 = 1319937386641
BaseRepresentation
bin101110101010011111…
…0110100010001111101
3100120122210210111111022
41131110332310101331
53120212230013041
6114011424033525
710145203645244
oct1352476642175
9316583714438
10100210001021
1139553a29a69
12175081628a5
1395b0188bc0
144bc8cc795b
1529178bc24b
hex1754fb447d

100210001021 has 8 divisors (see below), whose sum is σ = 107924154744. Its totient is φ = 92496660480.

The previous prime is 100210000967. The next prime is 100210001027. The reversal of 100210001021 is 120100012001.

It can be written as a sum of positive squares in 4 ways, for example, as 5339224900 + 94870776121 = 73070^2 + 308011^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100210001021 - 222 = 100205806717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210001027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65861 + ... + 452501.

It is an arithmetic number, because the mean of its divisors is an integer number (13490519343).

Almost surely, 2100210001021 is an apocalyptic number.

It is an amenable number.

100210001021 is a deficient number, since it is larger than the sum of its proper divisors (7714153723).

100210001021 is a wasteful number, since it uses less digits than its factorization.

100210001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406591.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100210001021 its reverse (120100012001), we get a palindrome (220310013022).

The spelling of 100210001021 in words is "one hundred billion, two hundred ten million, one thousand, twenty-one".

Divisors: 1 13 19937 259181 386641 5026333 7708461617 100210001021