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1030149900 = 223652131087
BaseRepresentation
bin111101011001101…
…101011100001100
32122210102001000000
4331121231130030
54102204244100
6250115404300
734346062323
oct7531553414
92583361000
101030149900
1148954695a
12248bb3690
13135565470
149ab590ba
1560689900
hex3d66d70c

1030149900 has 252 divisors, whose sum is σ = 3612740992. Its totient is φ = 253342080.

The previous prime is 1030149821. The next prime is 1030149907. The reversal of 1030149900 is 99410301.

It is a super-2 number, since 2×10301499002 = 2122417632940020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1030149907) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 947157 + ... + 948243.

Almost surely, 21030149900 is an apocalyptic number.

1030149900 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 1030149900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806370496).

1030149900 is an abundant number, since it is smaller than the sum of its proper divisors (2582591092).

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

1030149900 is a wasteful number, since it uses less digits than its factorization.

1030149900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1030149900 is about 32095.9483424310. The cubic root of 1030149900 is about 1009.9506233418.

The spelling of 1030149900 in words is "one billion, thirty million, one hundred forty-nine thousand, nine hundred".