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10031334041022 = 2372214329995309
BaseRepresentation
bin1001000111111001101000…
…0110100010010110111110
31022111222121220202110110020
42101332122012202112332
52303323133003303042
633200155314153010
72053511544322500
oct221763206422676
938458556673406
1010031334041022
1132182a0605898
121160181582766
13579c48a169b8
1426973a7d9d70
15125e10c333ec
hex91f9a1a25be

10031334041022 has 96 divisors (see below), whose sum is σ = 23361281280000. Its totient is φ = 2863263356352.

The previous prime is 10031334040961. The next prime is 10031334041033. The reversal of 10031334041022 is 22014043313001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10031334040983 and 10031334041001.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1889493304 + ... + 1889498612.

It is an arithmetic number, because the mean of its divisors is an integer number (243346680000).

Almost surely, 210031334041022 is an apocalyptic number.

10031334041022 is an abundant number, since it is smaller than the sum of its proper divisors (13329947238978).

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

10031334041022 is a wasteful number, since it uses less digits than its factorization.

10031334041022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470 (or 10463 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 10031334041022 its reverse (22014043313001), we get a palindrome (32045377354023).

The spelling of 10031334041022 in words is "ten trillion, thirty-one billion, three hundred thirty-four million, forty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 2143 2999 4286 5309 5998 6429 8997 10618 12858 15001 15927 17994 20993 30002 31854 37163 41986 45003 62979 74326 90006 105007 111489 125958 146951 210014 222978 260141 293902 315021 440853 520282 630042 780423 881706 1560846 6426857 11377187 12853714 15921691 19280571 22754374 31843382 34131561 38561142 44987999 47765073 68263122 79640309 89975998 95530146 111451837 134963997 159280618 222903674 238920927 269927994 314915993 334355511 477841854 557482163 629831986 668711022 780162859 944747979 1114964326 1560325718 1672446489 1889495958 2340488577 3344892978 4680977154 34120183813 68240367626 102360551439 204721102878 238841286691 477682573382 716523860073 1433047720146 1671889006837 3343778013674 5015667020511 10031334041022