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201032123023032 = 233729471880346691
BaseRepresentation
bin101101101101011001110000…
…010001111111111010111000
3222100210111001022012010112020
4231231121300101333322320
5202322202241443214112
61551320514331514440
760226043262256110
oct5555316021777270
9870714038163466
10201032123023032
1159067276605964
121a6694572b8a20
13882332b70ba52
143790014436040
1518394909e348c
hexb6d67047feb8

201032123023032 has 256 divisors, whose sum is σ = 606871089561600. Its totient is φ = 54273149253120.

The previous prime is 201032123023013. The next prime is 201032123023097. The reversal of 201032123023032 is 230320321230102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 201032123022993 and 201032123023011.

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, 4305562807 + ... + 4305609497.

It is an arithmetic number, because the mean of its divisors is an integer number (2370590193600).

Almost surely, 2201032123023032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201032123023032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303435544780800).

201032123023032 is an abundant number, since it is smaller than the sum of its proper divisors (405838966538568).

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

201032123023032 is a wasteful number, since it uses less digits than its factorization.

201032123023032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65586 (or 65582 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 201032123023032 its reverse (230320321230102), we get a palindrome (431352444253134).

The spelling of 201032123023032 in words is "two hundred one trillion, thirty-two billion, one hundred twenty-three million, twenty-three thousand, thirty-two".