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10100110021012 = 22111953773294893
BaseRepresentation
bin1001001011111001110101…
…1110000101000110010100
31022202120011000220020112101
42102332131132011012110
52310440011131133022
633251532042131444
72061465066442624
oct222763536050624
938676130806471
1010100110021012
113244483885580
1211715764b0b84
135835896a9a4b
1426cbc2a2c884
15127ad8b61627
hex92f9d785194

10100110021012 has 96 divisors (see below), whose sum is σ = 20706654568320. Its totient is φ = 4261732001280.

The previous prime is 10100110021007. The next prime is 10100110021039. The reversal of 10100110021012 is 21012001100101.

10100110021012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10100110021012.

It is a congruent number.

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, 34102638 + ... + 34397530.

It is an arithmetic number, because the mean of its divisors is an integer number (215694318420).

Almost surely, 210100110021012 is an apocalyptic number.

It is an amenable number.

10100110021012 is an abundant number, since it is smaller than the sum of its proper divisors (10606544547308).

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

10100110021012 is a wasteful number, since it uses less digits than its factorization.

10100110021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295753 (or 295751 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100110021012 its reverse (21012001100101), we get a palindrome (31112111121113).

The spelling of 10100110021012 in words is "ten trillion, one hundred billion, one hundred ten million, twenty-one thousand, twelve".

Divisors: 1 2 4 11 19 22 38 44 53 76 106 209 212 418 583 773 836 1007 1166 1546 2014 2332 3092 4028 8503 11077 14687 17006 22154 29374 34012 40969 44308 58748 81938 161557 163876 294893 323114 450659 589786 646228 778411 901318 1179572 1556822 1802636 3113644 3243823 5602967 6487646 8562521 11205934 12975292 15629329 17125042 22411868 31258658 34250084 61632637 62517316 123265274 171922619 227952289 246530548 296957251 343845238 455904578 593914502 687690476 911809156 1187829004 2507475179 3266529761 4331093491 5014950358 6533059522 8662186982 10029900716 12081471317 13066119044 17324373964 24162942634 47642028401 48325885268 95284056802 132896184487 190568113604 229547955023 265792368974 459095910046 531584737948 918191820092 2525027505253 5050055010506 10100110021012