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101350431 = 32713671847
BaseRepresentation
bin1100000101001…
…11110000011111
321001201010122200
412002213300133
5201421203211
614020142543
72340315210
oct602476037
9231633580
10101350431
1152234096
1229b37a53
1317cc7390
14d663407
158d6eb56
hex60a7c1f

101350431 has 48 divisors (see below), whose sum is σ = 182966784. Its totient is φ = 52633152.

The previous prime is 101350423. The next prime is 101350453. The reversal of 101350431 is 134053101.

It is not a de Polignac number, because 101350431 - 23 = 101350423 is a prime.

It is a super-2 number, since 2×1013504312 = 20543819727771522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101350031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53950 + ... + 55796.

It is an arithmetic number, because the mean of its divisors is an integer number (3811808).

Almost surely, 2101350431 is an apocalyptic number.

101350431 is a deficient number, since it is larger than the sum of its proper divisors (81616353).

101350431 is a wasteful number, since it uses less digits than its factorization.

101350431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1940 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 101350431 is about 10067.2951183523. The cubic root of 101350431 is about 466.2389298907.

The spelling of 101350431 in words is "one hundred one million, three hundred fifty thousand, four hundred thirty-one".

Divisors: 1 3 7 9 13 21 39 63 67 91 117 201 273 469 603 819 871 1407 1847 2613 4221 5541 6097 7839 12929 16623 18291 24011 38787 54873 72033 116361 123749 168077 216099 371247 504231 866243 1113741 1512693 1608737 2598729 4826211 7796187 11261159 14478633 33783477 101350431