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10122222120010 = 25711131471687431
BaseRepresentation
bin1001001101001100001101…
…1101000010110001001010
31022211200020001201020220221
42103103003131002301022
52311320302330320020
633310030141140254
72063210046254560
oct223230335026112
938750201636827
1010122222120010
1132528a0556860
12117590785a68a
135856a181a5b0
1426dcbd62da30
151284800346aa
hex934c3742c4a

10122222120010 has 128 divisors (see below), whose sum is σ = 24479882477568. Its totient is φ = 2910303648000.

The previous prime is 10122222119957. The next prime is 10122222120029. The reversal of 10122222120010 is 1002122222101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14380995 + ... + 15068425.

It is an arithmetic number, because the mean of its divisors is an integer number (191249081856).

Almost surely, 210122222120010 is an apocalyptic number.

10122222120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122222120010 is an abundant number, since it is smaller than the sum of its proper divisors (14357660357558).

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

10122222120010 is a wasteful number, since it uses less digits than its factorization.

10122222120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688940.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122222120010 its reverse (1002122222101), we get a palindrome (11124344342111).

The spelling of 10122222120010 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 1471 2002 2942 5005 7355 10010 10297 14710 16181 19123 20594 32362 38246 51485 80905 95615 102970 113267 133861 161810 191230 210353 226534 267722 420706 566335 669305 687431 1051765 1132670 1338610 1374862 1472471 2103530 2944942 3437155 4812017 6874310 7362355 7561741 8936603 9624034 14724710 15123482 17873206 24060085 37808705 44683015 48120170 52932187 62556221 75617410 89366030 98302633 105864374 125112442 196605266 264660935 312781105 491513165 529321870 625562210 688118431 983026330 1011211001 1376236862 2022422002 3440592155 5056055005 6881184310 7078477007 10112110010 11123321011 13145743013 14156954014 22246642022 26291486026 35392385035 55616605055 65728715065 70784770070 77863247077 92020201091 111233210110 131457430130 144603173143 155726494154 184040402182 289206346286 389316235385 460101005455 723015865715 778632470770 920202010910 1012222212001 1446031731430 2024444424002 5061111060005 10122222120010