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1023012102112 = 257112132223337
BaseRepresentation
bin11101110001100000100…
…01011101111111100000
310121210120110202100001021
432320300101131333200
5113230112044231422
62101544255415224
7133624123251520
oct16706021357740
93553513670037
101023012102112
11364947730900
12146324824514
1375614a04300
143772a7a5680
151b926b66dc7
hexee3045dfe0

1023012102112 has 216 divisors, whose sum is σ = 2739655085328. Its totient is φ = 367914792960.

The previous prime is 1023012102067. The next prime is 1023012102113. The reversal of 1023012102112 is 2112012103201.

It is a super-2 number, since 2×10230121021122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023012102113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4468908 + ... + 4692244.

It is an arithmetic number, because the mean of its divisors is an integer number (12683588358).

Almost surely, 21023012102112 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 1023012102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369827542664).

1023012102112 is an abundant number, since it is smaller than the sum of its proper divisors (1716642983216).

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

1023012102112 is a wasteful number, since it uses less digits than its factorization.

1023012102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223402 (or 223370 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1023012102112 its reverse (2112012103201), we get a palindrome (3135024205313).

The spelling of 1023012102112 in words is "one trillion, twenty-three billion, twelve million, one hundred two thousand, one hundred twelve".