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122323131133210 = 2573312153534329
BaseRepresentation
bin11011110100000010010010…
…110001110110110100011010
3121001002222101022212020012001
4123310002102301312310122
5112013120233032230320
61112054245355311214
734523361136045000
oct3364022261666432
9531088338766161
10122323131133210
1135a80a48627007
121187706114b50a
135334038aa32c7
14222c684b26a70
15e21d8a8a620a
hex6f4092c76d1a

122323131133210 has 128 divisors (see below), whose sum is σ = 265178147328000. Its totient is φ = 40567549639680.

The previous prime is 122323131133187. The next prime is 122323131133243. The reversal of 122323131133210 is 12331131323221.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 228661326 + ... + 229195654.

It is an arithmetic number, because the mean of its divisors is an integer number (2071704276000).

Almost surely, 2122323131133210 is an apocalyptic number.

122323131133210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122323131133210 is an abundant number, since it is smaller than the sum of its proper divisors (142855016194790).

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

122323131133210 is a wasteful number, since it uses less digits than its factorization.

122323131133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536541 (or 536527 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 122323131133210 its reverse (12331131323221), we get a palindrome (134654262456431).

The spelling of 122323131133210 in words is "one hundred twenty-two trillion, three hundred twenty-three billion, one hundred thirty-one million, one hundred thirty-three thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 31 35 49 62 70 98 155 217 245 310 343 434 490 686 1085 1519 1715 2153 2170 3038 3430 4306 7595 10633 10765 15071 15190 21266 21530 30142 53165 66743 75355 105497 106330 133486 150710 210994 333715 467201 527485 534329 667430 738479 934402 1054970 1068658 1476958 2336005 2671645 3270407 3692395 3740303 4672010 5343290 6540814 7384790 7480606 16352035 16564199 18701515 22892849 26182121 32704070 33128398 37403030 45785698 52364242 82820995 114464245 115949393 130910605 165641990 183274847 228928490 231898786 261821210 366549694 579746965 811645751 916374235 1150410337 1159493930 1623291502 1832748470 2300820674 4058228755 5681520257 5752051685 8052872359 8116457510 11363040514 11504103370 16105744718 28407601285 35662720447 40264361795 56370106513 56815202570 71325440894 80528723590 112740213026 178313602235 249639043129 281850532565 356627204470 394590745591 499278086258 563701065130 789181491182 1248195215645 1747473301903 1972953727955 2496390431290 3494946603806 3945907455910 8737366509515 12232313113321 17474733019030 24464626226642 61161565566605 122323131133210