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10101220116 = 223131916720407
BaseRepresentation
bin10010110100001010…
…00110001100010100
3222001222020011000120
421122011012030110
5131141403020431
64350200111540
7505213645221
oct113205061424
928058204016
1010101220116
11431396a1a9
121b5aa655b0
13c4c96a430
146bb790948
153e1c04196
hex25a146314

10101220116 has 96 divisors (see below), whose sum is σ = 26879784960. Its totient is φ = 2926710144.

The previous prime is 10101220111. The next prime is 10101220117. The reversal of 10101220116 is 61102210101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10101220095 and 10101220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101220111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 484785 + ... + 505191.

It is an arithmetic number, because the mean of its divisors is an integer number (279997760).

Almost surely, 210101220116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101220116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13439892480).

10101220116 is an abundant number, since it is smaller than the sum of its proper divisors (16778564844).

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

10101220116 is a wasteful number, since it uses less digits than its factorization.

10101220116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20613 (or 20611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10101220116 its reverse (61102210101), we get a palindrome (71203430217).

The spelling of 10101220116 in words is "ten billion, one hundred one million, two hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 167 228 247 334 494 501 668 741 988 1002 1482 2004 2171 2964 3173 4342 6346 6513 8684 9519 12692 13026 19038 20407 26052 38076 40814 41249 61221 81628 82498 122442 123747 164996 244884 247494 265291 387733 494988 530582 775466 795873 1061164 1163199 1550932 1591746 2326398 3183492 3407969 4652796 5040529 6815938 10081058 10223907 13631876 15121587 20162116 20447814 30243174 40895628 44303597 60486348 64751411 88607194 129502822 132910791 177214388 194254233 259005644 265821582 388508466 531643164 777016932 841768343 1683536686 2525305029 3367073372 5050610058 10101220116