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100021010001 = 31197103303367
BaseRepresentation
bin101110100100110110…
…1110111111001010001
3100120011122011202112220
41131021231313321101
53114320334310001
6113540553211253
710140420362103
oct1351155677121
9316148152486
10100021010001
1139467286240
1217474a00b29
13957cc877b3
144babb6d573
152905ed9c36
hex1749b77e51

100021010001 has 32 divisors (see below), whose sum is σ = 148412479488. Its totient is φ = 59411197440.

The previous prime is 100021009987. The next prime is 100021010021. The reversal of 100021010001 is 100010120001.

It is not a de Polignac number, because 100021010001 - 25 = 100021009969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100021010021) 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, 178020 + ... + 481386.

It is an arithmetic number, because the mean of its divisors is an integer number (4637889984).

Almost surely, 2100021010001 is an apocalyptic number.

100021010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100021010001 is a deficient number, since it is larger than the sum of its proper divisors (48391469487).

100021010001 is a wasteful number, since it uses less digits than its factorization.

100021010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303581.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100021010001 its reverse (100010120001), we get a palindrome (200031130002).

Subtracting from 100021010001 its reverse (100010120001), we obtain a square (10890000 = 33002).

The spelling of 100021010001 in words is "one hundred billion, twenty-one million, ten thousand, one".

Divisors: 1 3 11 33 97 103 291 309 1067 1133 3201 3399 9991 29973 109901 303367 329703 910101 3337037 10011111 29426599 31246801 88279797 93740403 323692589 343714811 971077767 1031144433 3030939697 9092819091 33340336667 100021010001