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101012213223012 = 223713107864504923
BaseRepresentation
bin10110111101111010111101…
…000101100100111001100100
3111020122200011211001222002210
4112331322331011210321210
5101214441003041114022
6554500211541003420
730163614544444410
oct2675727505447144
9436580154058083
10101012213223012
112a205047a88303
12b3b4a159b3570
1344495457b0160
141ad30352dbd40
15ba285d373a0c
hex5bdebd164e64

101012213223012 has 96 divisors (see below), whose sum is σ = 292797443699712. Its totient is φ = 26391606258816.

The previous prime is 101012213222957. The next prime is 101012213223023. The reversal of 101012213223012 is 210322312210101.

101012213223012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010122132230122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101012213223012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432135618 + ... + 432369305.

It is an arithmetic number, because the mean of its divisors is an integer number (3049973371872).

Almost surely, 2101012213223012 is an apocalyptic number.

101012213223012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012213223012 is an abundant number, since it is smaller than the sum of its proper divisors (191785230476700).

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

101012213223012 is a wasteful number, since it uses less digits than its factorization.

101012213223012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864505057 (or 864505055 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101012213223012 its reverse (210322312210101), we get a palindrome (311334525433113).

The spelling of 101012213223012 in words is "one hundred one trillion, twelve billion, two hundred thirteen million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 107 156 182 214 273 321 364 428 546 642 749 1092 1284 1391 1498 2247 2782 2996 4173 4494 5564 8346 8988 9737 16692 19474 29211 38948 58422 116844 864504923 1729009846 2593514769 3458019692 5187029538 6051534461 10374059076 11238563999 12103068922 18154603383 22477127998 24206137844 33715691997 36309206766 44954255996 67431383994 72618413532 78669947993 92502026761 134862767988 157339895986 185004053522 236009843979 277506080283 314679791972 370008107044 472019687958 555012160566 647514187327 944039375916 1110024321132 1202526347893 1295028374654 1942542561981 2405052695786 2590056749308 3607579043679 3885085123962 4810105391572 7215158087358 7770170247924 8417684435251 14430316174716 16835368870502 25253053305753 33670737741004 50506106611506 101012213223012