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100220001101010 = 235575891828401
BaseRepresentation
bin10110110010011001001001…
…100100001010010011010010
3111010211221100012012102100000
4112302121021210022103102
5101114001030240213020
6553052233301510430
730052441024510140
oct2662311144122322
9433757305172300
10100220001101010
1129a2a07798961a
12b2a7383712416
1343bc923136c1b
141aa69613c4590
15b8be43b2b090
hex5b264990a4d2

100220001101010 has 96 divisors (see below), whose sum is σ = 308826077519232. Its totient is φ = 22907428819200.

The previous prime is 100220001100997. The next prime is 100220001101039. The reversal of 100220001101010 is 10101100022001.

It is a happy number.

It is a super-2 number, since 2×1002200011010102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100220001100983 and 100220001101001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2945897191 + ... + 2945931210.

It is an arithmetic number, because the mean of its divisors is an integer number (3216938307492).

Almost surely, 2100220001101010 is an apocalyptic number.

100220001101010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100220001101010 is an abundant number, since it is smaller than the sum of its proper divisors (208606076418222).

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

100220001101010 is an equidigital number, since it uses as much as digits as its factorization.

100220001101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891828430 (or 5891828418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100220001101010 its reverse (10101100022001), we get a palindrome (110321101123011).

The spelling of 100220001101010 in words is "one hundred trillion, two hundred twenty billion, one million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 243 270 315 378 405 486 567 630 810 945 1134 1215 1701 1890 2430 2835 3402 5670 8505 17010 5891828401 11783656802 17675485203 29459142005 35350970406 41242798807 53026455609 58918284010 82485597614 88377426015 106052911218 123728396421 159079366827 176754852030 206213994035 247456792842 265132278045 318158733654 371185189263 412427988070 477238100481 530264556090 618641982105 742370378526 795396834135 954476200962 1113555567789 1237283964210 1431714301443 1590793668270 1855925946315 2227111135578 2386190502405 2863428602886 3340666703367 3711851892630 4772381004810 5567777838945 6681333406734 7158571507215 10022000110101 11135555677890 14317143014430 16703333516835 20044000220202 33406667033670 50110000550505 100220001101010