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10124133011322 = 23118916714537103
BaseRepresentation
bin1001001101010011010101…
…0110100000111101111010
31022211212011020101121000020
42103110311112200331322
52311333211022330242
633310543522151310
72063305311465351
oct223246526407572
938755136347006
1010124133011322
113253691170780
12117615b7b2536
13585917695605
14270021330998
15128542b946ec
hex935355a0f7a

10124133011322 has 128 divisors (see below), whose sum is σ = 22489595412480. Its totient is φ = 3012784304640.

The previous prime is 10124133011249. The next prime is 10124133011329. The reversal of 10124133011322 is 22311033142101.

It is a junction number, because it is equal to n+sod(n) for n = 10124133011292 and 10124133011301.

It is not an unprimeable number, because it can be changed into a prime (10124133011329) by changing a digit.

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, 1425328423 + ... + 1425335525.

It is an arithmetic number, because the mean of its divisors is an integer number (175699964160).

Almost surely, 210124133011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10124133011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11244797706240).

10124133011322 is an abundant number, since it is smaller than the sum of its proper divisors (12365462401158).

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

10124133011322 is a wasteful number, since it uses less digits than its factorization.

10124133011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 10124133011322 its reverse (22311033142101), we get a palindrome (32435166153423).

The spelling of 10124133011322 in words is "ten trillion, one hundred twenty-four billion, one hundred thirty-three million, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 89 167 178 267 334 501 534 979 1002 1453 1837 1958 2906 2937 3674 4359 5511 5874 7103 8718 11022 14206 14863 15983 21309 29726 31966 42618 44589 47949 78133 89178 95898 129317 156266 163493 234399 242651 258634 326986 387951 468798 485302 490479 632167 727953 775902 980958 1186201 1264334 1422487 1455906 1896501 2372402 2669161 2844974 3558603 3793002 4267461 5338322 6953837 7117206 8007483 8534922 10320659 13048211 13907674 16014966 20641318 20861511 21595939 26096422 30961977 39144633 41723022 43191878 61923954 64787817 78289266 105571889 113527249 129575634 211143778 227054498 237555329 316715667 340581747 475110658 633431334 681163494 712665987 918538651 1161290779 1425331974 1723550053 1837077302 2322581558 2755615953 3447100106 3483872337 5170650159 5511231906 6967744674 10103925161 10341300318 18959050583 20207850322 30311775483 37918101166 56877151749 60623550966 113754303498 153395954717 306791909434 460187864151 920375728302 1687355501887 3374711003774 5062066505661 10124133011322