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1002012202000 = 24534167271673
BaseRepresentation
bin11101001010011001001…
…01001101010000010000
310112210100221201212201001
432211030211031100100
5112404110110431000
62044152410551344
7132251540121115
oct16451445152020
93483327655631
101002012202000
11356a50847057
12142243a38554
1373649125b04
14366d779a90c
151b0e823946a
hexe94c94d410

1002012202000 has 320 divisors, whose sum is σ = 2532055938048. Its totient is φ = 383201280000.

The previous prime is 1002012201977. The next prime is 1002012202003. The reversal of 1002012202000 is 2022102001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1002012202003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488873664 + ... + 1488874336.

Almost surely, 21002012202000 is an apocalyptic number.

1002012202000 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 1002012202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266027969024).

1002012202000 is an abundant number, since it is smaller than the sum of its proper divisors (1530043736048).

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

1002012202000 is a wasteful number, since it uses less digits than its factorization.

1002012202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1002012202000 its reverse (2022102001), we get a palindrome (1004034304001).

Subtracting from 1002012202000 its reverse (2022102001), we obtain a palindrome (999990099999).

The spelling of 1002012202000 in words is "one trillion, two billion, twelve million, two hundred two thousand".