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101011122000222 = 23759149572725357
BaseRepresentation
bin10110111101111001111100…
…000010111001000101011110
3111020122120100202202002211220
4112331321330002321011132
5101214431234213001342
6554455511400154210
730163545524266020
oct2675717402710536
9436576322662756
10101011122000222
112a204638018495
12b3b4770468966
1344494006b35b5
141ad2d70406010
15ba27e76735ec
hex5bde7c0b915e

101011122000222 has 64 divisors (see below), whose sum is σ = 234811612592640. Its totient is φ = 28369255337856.

The previous prime is 101011122000211. The next prime is 101011122000227. The reversal of 101011122000222 is 222000221110101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122000227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35700768 + ... + 38426124.

It is an arithmetic number, because the mean of its divisors is an integer number (3668931446760).

Almost surely, 2101011122000222 is an apocalyptic number.

101011122000222 is an abundant number, since it is smaller than the sum of its proper divisors (133800490592418).

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

101011122000222 is a wasteful number, since it uses less digits than its factorization.

101011122000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740385.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101011122000222 its reverse (222000221110101), we get a palindrome (323011343110323).

The spelling of 101011122000222 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, two hundred twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 14957 29914 44871 89742 104699 209398 314097 628194 882463 1764926 2647389 2725357 5294778 5450714 6177241 8176071 12354482 16352142 18531723 19077499 37063446 38154998 57232497 114464994 160796063 321592126 482388189 964776378 1125572441 2251144882 3376717323 6753434646 40763164649 81526329298 122289493947 244578987894 285342152543 570684305086 856026457629 1712052915258 2405026714291 4810053428582 7215080142873 14430160285746 16835187000037 33670374000074 50505561000111 101011122000222