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202130033130000 = 243254235310511753
BaseRepresentation
bin101101111101011000010000…
…110100101011101000010000
3222111200102221112202022222100
4231331120100310223220100
5202443144301440130000
61553521131051440400
760401261436223053
oct5575302064535020
9874612845668870
10202130033130000
115944a958201328
121a8061a3156100
1388a2a1b527611
1437cb208124a9a
151857cecc76a00
hexb7d610d2ba10

202130033130000 has 1200 divisors, whose sum is σ = 752673126801024. Its totient is φ = 50508057600000.

The previous prime is 202130033129963. The next prime is 202130033130007. The reversal of 202130033130000 is 31330031202.

202130033130000 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 30 + 0 + 331 + 300 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (202130033130007) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 115305209124 + ... + 115305210876.

Almost surely, 2202130033130000 is an apocalyptic number.

202130033130000 is a gapful number since it is divisible by the number (20) 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 202130033130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376336563400512).

202130033130000 is an abundant number, since it is smaller than the sum of its proper divisors (550543093671024).

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

202130033130000 is a wasteful number, since it uses less digits than its factorization.

202130033130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 202130033130000 its reverse (31330031202), we get a palindrome (202161363161202).

The spelling of 202130033130000 in words is "two hundred two trillion, one hundred thirty billion, thirty-three million, one hundred thirty thousand".