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10100110201122 = 2347273291310549
BaseRepresentation
bin1001001011111001110101…
…1110110001000100100010
31022202120011001020101121010
42102332131132301010202
52310440011202413442
633251532050041350
72061465101123004
oct222763536610442
938676131211533
1010100110201122
113244483998927
121171576579256
13583589740a16
1426cbc2a78374
15127ad8b99b9c
hex92f9d7b1122

10100110201122 has 32 divisors (see below), whose sum is σ = 20630782944000. Its totient is φ = 3294948328448.

The previous prime is 10100110201081. The next prime is 10100110201141. The reversal of 10100110201122 is 22110201100101.

10100110201122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10100110201098 and 10100110201107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7051504 + ... + 8362052.

It is an arithmetic number, because the mean of its divisors is an integer number (644711967000).

Almost surely, 210100110201122 is an apocalyptic number.

10100110201122 is an abundant number, since it is smaller than the sum of its proper divisors (10530672742878).

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

10100110201122 is a wasteful number, since it uses less digits than its factorization.

10100110201122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337930.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10100110201122 its reverse (22110201100101), we get a palindrome (32210311301223).

The spelling of 10100110201122 in words is "ten trillion, one hundred billion, one hundred ten million, two hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 47 94 141 282 27329 54658 81987 163974 1284463 1310549 2568926 2621098 3853389 3931647 7706778 7863294 61595803 123191606 184787409 369574818 35815993621 71631987242 107447980863 214895961726 1683351700187 3366703400374 5050055100561 10100110201122