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101011122211212 = 223223955793210421
BaseRepresentation
bin10110111101111001111100…
…000011101100100110001100
3111020122120100210010211021100
4112331321330003230212030
5101214431234241224322
6554455511404503100
730163545526135113
oct2675717403544614
9436576323124240
10101011122211212
112a204638151a64
12b3b477054aa90
134449400758645
141ad2d7045cc7a
15ba27e76b5dac
hex5bde7c0ec98c

101011122211212 has 72 divisors (see below), whose sum is σ = 256407825885120. Its totient is φ = 33528733539840.

The previous prime is 101011122211121. The next prime is 101011122211277. The reversal of 101011122211212 is 212112221110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 479937762 + ... + 480148182.

It is an arithmetic number, because the mean of its divisors is an integer number (3561219803960).

Almost surely, 2101011122211212 is an apocalyptic number.

101011122211212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101011122211212 is an abundant number, since it is smaller than the sum of its proper divisors (155396703673908).

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

101011122211212 is a wasteful number, since it uses less digits than its factorization.

101011122211212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266463 (or 266458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101011122211212 its reverse (212112221110101), we get a palindrome (313123343321313).

The spelling of 101011122211212 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 2151 2868 4302 8604 55793 111586 167379 210421 223172 334758 420842 502137 631263 669516 841684 1004274 1262526 1893789 2008548 2525052 3787578 7575156 13334527 26669054 40003581 50290619 53338108 80007162 100581238 120010743 150871857 160014324 201162476 240021486 301743714 452615571 480042972 603487428 905231142 1810462284 11740018853 23480037706 35220056559 46960075412 70440113118 105660169677 140880226236 211320339354 422640678708 2805864505867 5611729011734 8417593517601 11223458023468 16835187035202 25252780552803 33670374070404 50505561105606 101011122211212