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102046411005000 = 23354711101874771
BaseRepresentation
bin10111001100111110001000…
…000101000001110001001000
3111101022112121211122201021220
4113030332020011001301020
5101333412022204130000
61001011250220402040
730331416123524640
oct2714761005016110
9441275554581256
10102046411005000
112a573704738a40
12b5413406a6320
1344c2c20a21047
141b2b1034a9520
15bbe6dc0061a0
hex5ccf88141c48

102046411005000 has 640 divisors, whose sum is σ = 401391861488640. Its totient is φ = 20994480000000.

The previous prime is 102046411004969. The next prime is 102046411005001. The reversal of 102046411005000 is 500114640201.

It is a happy number.

It is a super-2 number, since 2×1020464110050002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102046411005001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 116217615 + ... + 117092385.

It is an arithmetic number, because the mean of its divisors is an integer number (627174783576).

Almost surely, 2102046411005000 is an apocalyptic number.

102046411005000 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 102046411005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200695930744320).

102046411005000 is an abundant number, since it is smaller than the sum of its proper divisors (299345450483640).

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

102046411005000 is a wasteful number, since it uses less digits than its factorization.

102046411005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874919 (or 874900 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 102046411005000 its reverse (500114640201), we get a palindrome (102546525645201).

The spelling of 102046411005000 in words is "one hundred two trillion, forty-six billion, four hundred eleven million, five thousand".