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101007007434 = 23219295342127
BaseRepresentation
bin101111000010001111…
…1001001111011001010
3100122201100111121202100
41132010133021323022
53123330243214214
6114222454414230
710204022253144
oct1360437117312
9318640447670
10101007007434
1139922905753
12176ab061376
1396a9331328
144c62ab3c94
152962852309
hex17847c9eca

101007007434 has 24 divisors (see below), whose sum is σ = 230366859840. Its totient is φ = 31896949608.

The previous prime is 101007007433. The next prime is 101007007447. The reversal of 101007007434 is 434700700101.

It is a junction number, because it is equal to n+sod(n) for n = 101007007398 and 101007007407.

It is not an unprimeable number, because it can be changed into a prime (101007007433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147670722 + ... + 147671405.

It is an arithmetic number, because the mean of its divisors is an integer number (9598619160).

Almost surely, 2101007007434 is an apocalyptic number.

101007007434 is an abundant number, since it is smaller than the sum of its proper divisors (129359852406).

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

101007007434 is a wasteful number, since it uses less digits than its factorization.

101007007434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295342154 (or 295342151 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

Adding to 101007007434 its reverse (434700700101), we get a palindrome (535707707535).

The spelling of 101007007434 in words is "one hundred one billion, seven million, seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 295342127 590684254 886026381 1772052762 2658079143 5316158286 5611500413 11223000826 16834501239 33669002478 50503503717 101007007434