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10121031121122 = 2335910131452677
BaseRepresentation
bin1001001101000111110001…
…1101101111100011100010
31022211120011001122020121000
42103101330131233203202
52311310332431333442
633305312034012430
72063135405035605
oct223217435574342
938746131566530
1010121031121122
11325233a238759
121175634a17116
13585541b5811c
1426dc093a433c
151284106c5d4c
hex9347c76f8e2

10121031121122 has 64 divisors (see below), whose sum is σ = 23098846723200. Its totient is φ = 3283659374400.

The previous prime is 10121031121099. The next prime is 10121031121133. The reversal of 10121031121122 is 22112113012101.

It is a happy number.

10121031121122 is a `hidden beast` number, since 1 + 0 + 1 + 210 + 311 + 21 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10121031121095 and 10121031121104.

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, 15404553 + ... + 16048124.

It is an arithmetic number, because the mean of its divisors is an integer number (360919480050).

Almost surely, 210121031121122 is an apocalyptic number.

10121031121122 is an abundant number, since it is smaller than the sum of its proper divisors (12977815602078).

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

10121031121122 is a wasteful number, since it uses less digits than its factorization.

10121031121122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31452848 (or 31452842 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 10121031121122 its reverse (22112113012101), we get a palindrome (32233144133223).

The spelling of 10121031121122 in words is "ten trillion, one hundred twenty-one billion, thirty-one million, one hundred twenty-one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 59 101 118 177 202 303 354 531 606 909 1062 1593 1818 2727 3186 5454 5959 11918 17877 35754 53631 107262 160893 321786 31452677 62905354 94358031 188716062 283074093 566148186 849222279 1698444558 1855707943 3176720377 3711415886 5567123829 6353440754 9530161131 11134247658 16701371487 19060322262 28590483393 33402742974 50104114461 57180966786 85771450179 100208228922 171542900358 187426502243 374853004486 562279506729 1124559013458 1686838520187 3373677040374 5060515560561 10121031121122