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10133542132000 = 255371133202763
BaseRepresentation
bin1001001101110110011000…
…1011011101100100100000
31022212202102222022110002021
42103131212023131210200
52312011443241211000
633315141320231224
72064060422626150
oct223354613354440
938782388273067
1010133542132000
11325767a397371
121177b4690b514
13586786b2b741
14270674c02760
151288e3c3711a
hex937662dd920

10133542132000 has 192 divisors, whose sum is σ = 28706809307904. Its totient is φ = 3443609702400.

The previous prime is 10133542131983. The next prime is 10133542132057. The reversal of 10133542132000 is 23124533101.

It is a happy number.

It is a super-2 number, since 2×101335421320002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1562619 + ... + 4765381.

It is an arithmetic number, because the mean of its divisors is an integer number (149514631812).

Almost surely, 210133542132000 is an apocalyptic number.

10133542132000 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 10133542132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353404653952).

10133542132000 is an abundant number, since it is smaller than the sum of its proper divisors (18573267175904).

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

10133542132000 is a wasteful number, since it uses less digits than its factorization.

10133542132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202908 (or 3202890 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 10133542132000 its reverse (23124533101), we get a palindrome (10156666665101).

The spelling of 10133542132000 in words is "ten trillion, one hundred thirty-three billion, five hundred forty-two million, one hundred thirty-two thousand".