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100020011202210 = 235111732118303179
BaseRepresentation
bin10110101111011110111001…
…001111001111011010100010
3111010010211010112220221002010
4112233132321033033122202
5101102211440331432320
6552420320412133350
730032131055433531
oct2657367117173242
9433124115827063
10100020011202210
1129962280897620
12b27466b467256
1343a6b00c436b8
141a9adcc7b2318
15b86b3b4eeae0
hex5af7b93cf6a2

100020011202210 has 128 divisors (see below), whose sum is σ = 264632576117760. Its totient is φ = 23992863148800.

The previous prime is 100020011202203. The next prime is 100020011202211. The reversal of 100020011202210 is 12202110020001.

It is not an unprimeable number, because it can be changed into a prime (100020011202211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7894401 + ... + 16197579.

It is an arithmetic number, because the mean of its divisors is an integer number (2067442000920).

Almost surely, 2100020011202210 is an apocalyptic number.

100020011202210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100020011202210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132316288058880).

100020011202210 is an abundant number, since it is smaller than the sum of its proper divisors (164612564915550).

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

100020011202210 is a wasteful number, since it uses less digits than its factorization.

100020011202210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8303584.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100020011202210 its reverse (12202110020001), we get a palindrome (112222121222211).

The spelling of 100020011202210 in words is "one hundred trillion, twenty billion, eleven million, two hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 173 211 330 346 422 519 633 865 1038 1055 1266 1730 1903 2110 2321 2595 3165 3806 4642 5190 5709 6330 6963 9515 11418 11605 13926 19030 23210 28545 34815 36503 57090 69630 73006 109509 182515 219018 365030 401533 547545 803066 1095090 1204599 2007665 2409198 4015330 6022995 8303179 12045990 16606358 24909537 41515895 49819074 83031790 91334969 124547685 182669938 249095370 274004907 456674845 548009814 913349690 1370024535 1436449967 1751970769 2740049070 2872899934 3503941538 4309349901 5255912307 7182249835 8618699802 8759853845 10511824614 14364499670 15800949637 17519707690 19271678459 21546749505 26279561535 31601899274 38543356918 43093499010 47402848911 52559123070 57815035377 79004748185 94805697822 96358392295 115630070754 158009496370 192716784590 237014244555 289075176885 303090943037 474028489110 578150353770 606181886074 909272829111 1515454715185 1818545658222 3030909430370 3334000373407 4546364145555 6668000746814 9092728291110 10002001120221 16670001867035 20004002240442 33340003734070 50010005601105 100020011202210