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1023012210000 = 24354115952543
BaseRepresentation
bin11101110001100000100…
…01111000010101010000
310121210120110221211001010
432320300101320111100
5113230112111210000
62101544302010520
7133624124211204
oct16706021702520
93553513854033
101023012210000
113649477a4970
12146324876a40
1375614a41451
143772a7d2b04
151b926b88d50
hexee30478550

1023012210000 has 400 divisors, whose sum is σ = 3663771217920. Its totient is φ = 243794880000.

The previous prime is 1023012209993. The next prime is 1023012210053. The reversal of 1023012210000 is 122103201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19443729 + ... + 19496271.

Almost surely, 21023012210000 is an apocalyptic number.

1023012210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023012210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1831885608960).

1023012210000 is an abundant number, since it is smaller than the sum of its proper divisors (2640759007920).

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

1023012210000 is a wasteful number, since it uses less digits than its factorization.

1023012210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52644 (or 52623 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1023012210000 its reverse (122103201), we get a palindrome (1023134313201).

The spelling of 1023012210000 in words is "one trillion, twenty-three billion, twelve million, two hundred ten thousand".