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10100221222020 = 22351077192188099
BaseRepresentation
bin1001001011111010010000…
…0110010001110010000100
31022202120102210010211122020
42102332210012101302010
52310440223113101040
633251551053403140
72061500616566046
oct222764406216204
938676383124566
1010100221222020
113244530627536
1211715a77994b0
135835a6742967
1426cbd36d7a96
15127ae37c9cd0
hex92fa4191c84

10100221222020 has 96 divisors (see below), whose sum is σ = 28584638208000. Its totient is φ = 2664508201344.

The previous prime is 10100221222019. The next prime is 10100221222073. The reversal of 10100221222020 is 2022212200101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3521931 + ... + 5710029.

It is an arithmetic number, because the mean of its divisors is an integer number (297756648000).

Almost surely, 210100221222020 is an apocalyptic number.

10100221222020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100221222020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14292319104000).

10100221222020 is an abundant number, since it is smaller than the sum of its proper divisors (18484416985980).

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

10100221222020 is a wasteful number, since it uses less digits than its factorization.

10100221222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188937 (or 2188935 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10100221222020 its reverse (2022212200101), we get a palindrome (12122433422121).

The spelling of 10100221222020 in words is "ten trillion, one hundred billion, two hundred twenty-one million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 719 1070 1284 1438 1605 2140 2157 2876 3210 3595 4314 6420 7190 8628 10785 14380 21570 43140 76933 153866 230799 307732 384665 461598 769330 923196 1153995 1538660 2188099 2307990 4376198 4615980 6564297 8752396 10940495 13128594 21880990 26257188 32821485 43761980 65642970 131285940 234126593 468253186 702379779 936506372 1170632965 1404759558 1573243181 2341265930 2809519116 3146486362 3511898895 4682531860 4719729543 6292972724 7023797790 7866215905 9439459086 14047595580 15732431810 18878918172 23598647715 31464863620 47197295430 94394590860 168337020367 336674040734 505011061101 673348081468 841685101835 1010022122202 1683370203670 2020044244404 2525055305505 3366740407340 5050110611010 10100221222020