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101011221440012 = 221321071997017559
BaseRepresentation
bin10110111101111010000001…
…111110001110011000001100
3111020122120121200212011121002
4112331322001332032120030
5101214431440142040022
6554455525311355432
730163551142435652
oct2675720176163014
9436576550764532
10101011221440012
112a204689167034
12b3b4799822b78
13444941818c100
141ad2d7d6ccdd2
15ba2801267092
hex5bde81f8e60c

101011221440012 has 72 divisors (see below), whose sum is σ = 194173078176000. Its totient is φ = 45952766278848.

The previous prime is 101011221439993. The next prime is 101011221440021. The reversal of 101011221440012 is 210044122110101.

It is a super-3 number, since 3×1010112214400123 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10885289 + ... + 17902847.

It is an arithmetic number, because the mean of its divisors is an integer number (2696848308000).

Almost surely, 2101011221440012 is an apocalyptic number.

It is an amenable number.

101011221440012 is a deficient number, since it is larger than the sum of its proper divisors (93161856735988).

101011221440012 is a wasteful number, since it uses less digits than its factorization.

101011221440012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017895 (or 7017880 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101011221440012 its reverse (210044122110101), we get a palindrome (311055343550113).

The spelling of 101011221440012 in words is "one hundred one trillion, eleven billion, two hundred twenty-one million, four hundred forty thousand, twelve".

Divisors: 1 2 4 13 26 52 107 169 199 214 338 398 428 676 796 1391 2587 2782 5174 5564 10348 18083 21293 33631 36166 42586 67262 72332 85172 134524 276809 553618 1107236 3598517 7017559 7197034 14035118 14394068 28070236 91228267 182456534 364913068 750878813 1185967471 1396494241 1501757626 2371934942 2792988482 3003515252 4743869884 5585976964 9761424569 18154425133 19522849138 36308850266 39045698276 72617700532 126898519397 149424883787 236007526729 253797038794 298849767574 472015053458 507594077588 597699535148 944030106916 1942523489231 3885046978462 7770093956924 25252805360003 50505610720006 101011221440012