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1020002121112 = 231334729282407
BaseRepresentation
bin11101101011111001101…
…11010011010110011000
310121111210200221110100111
432311330313103112120
5113202431020333422
62100325453214104
7133456413655642
oct16657467232630
93544720843314
101020002121112
113636426735a7
12145824791334
1375255236a70
1437522b21892
151b7ec7a0a77
hexed7cdd3598

1020002121112 has 32 divisors (see below), whose sum is σ = 2059686266400. Its totient is φ = 470754987264.

The previous prime is 1020002121091. The next prime is 1020002121113. The reversal of 1020002121112 is 2111212000201.

It is a super-2 number, since 2×10200021211122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1020002121092 and 1020002121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020002121113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3470613 + ... + 3753019.

It is an arithmetic number, because the mean of its divisors is an integer number (64365195825).

Almost surely, 21020002121112 is an apocalyptic number.

It is an amenable number.

1020002121112 is an abundant number, since it is smaller than the sum of its proper divisors (1039684145288).

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

1020002121112 is a wasteful number, since it uses less digits than its factorization.

1020002121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317155 (or 317151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020002121112 its reverse (2111212000201), we get a palindrome (3131214121313).

The spelling of 1020002121112 in words is "one trillion, twenty billion, two million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 34729 69458 138916 277832 282407 451477 564814 902954 1129628 1805908 2259256 3611816 3671291 7342582 14685164 29370328 9807712703 19615425406 39230850812 78461701624 127500265139 255000530278 510001060556 1020002121112