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1201002000 = 243531131587
BaseRepresentation
bin100011110010101…
…1101011000010000
310002200220020000120
41013211131120100
54424424031000
6315101350240
741522230362
oct10745353020
93080806016
101201002000
11566a30640
12296268380
13161a85593
14b5710d32
15706876a0
hex4795d610

1201002000 has 320 divisors, whose sum is σ = 4367720448. Its totient is φ = 281280000.

The previous prime is 1201001987. The next prime is 1201002013. The reversal of 1201002000 is 2001021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1201001987) and next prime (1201002013).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1201002000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2045707 + ... + 2046293.

Almost surely, 21201002000 is an apocalyptic number.

1201002000 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 1201002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183860224).

1201002000 is an abundant number, since it is smaller than the sum of its proper divisors (3166718448).

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

1201002000 is a wasteful number, since it uses less digits than its factorization.

1201002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1201002000 is about 34655.4757578077. The cubic root of 1201002000 is about 1062.9542601990.

Adding to 1201002000 its reverse (2001021), we get a palindrome (1203003021).

The spelling of 1201002000 in words is "one billion, two hundred one million, two thousand".