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101002201120220 = 225173243711978411
BaseRepresentation
bin10110111101110001101000…
…010100011011110111011100
3111020121201100001112110001212
4112331301220110123313130
5101214310001441321340
6554451434242523552
730163111462124351
oct2675615024336734
9436551301473055
10101002201120220
112a20087a457294
12b3b2aa09665b8
13444860b445c8a
141ad2765708628
15ba24743c4a65
hex5bdc6851bddc

101002201120220 has 48 divisors (see below), whose sum is σ = 213418216676448. Its totient is φ = 40150863701760.

The previous prime is 101002201120201. The next prime is 101002201120253. The reversal of 101002201120220 is 22021102200101.

It is a super-2 number, since 2×1010022011202202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002201120195 and 101002201120204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2442815 + ... + 14421225.

It is an arithmetic number, because the mean of its divisors is an integer number (4446212847426).

Almost surely, 2101002201120220 is an apocalyptic number.

101002201120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002201120220 is an abundant number, since it is smaller than the sum of its proper divisors (112416015556228).

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

101002201120220 is a wasteful number, since it uses less digits than its factorization.

101002201120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11981030 (or 11981028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101002201120220 its reverse (22021102200101), we get a palindrome (123023303320321).

The spelling of 101002201120220 in words is "one hundred one trillion, two billion, two hundred one million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 2437 3460 4874 9748 12185 24370 48740 421601 843202 1686404 2108005 4216010 8432020 11978411 23956822 47913644 59892055 119784110 239568220 2072265103 4144530206 8289060412 10361325515 20722651030 29191387607 41445302060 58382775214 116765550428 145956938035 291913876070 583827752140 5050110056011 10100220112022 20200440224044 25250550280055 50501100560110 101002201120220