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101719380132 = 223237186740903
BaseRepresentation
bin101111010111011110…
…0101001000010100100
3100201112222221220101100
41132232330221002210
53131310130131012
6114421303200100
710230462315366
oct1365674510244
9321488856340
10101719380132
113a158a35917
1217869746030
139790ab3236
144ccd54cd36
1529a516a8dc
hex17aef290a4

101719380132 has 72 divisors (see below), whose sum is σ = 264221187776. Its totient is φ = 32971593024.

The previous prime is 101719380083. The next prime is 101719380143. The reversal of 101719380132 is 231083917101.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2466393 + ... + 2507295.

Almost surely, 2101719380132 is an apocalyptic number.

101719380132 is a gapful number since it is divisible by the number (12) 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 101719380132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132110593888).

101719380132 is an abundant number, since it is smaller than the sum of its proper divisors (162501807644).

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

101719380132 is a wasteful number, since it uses less digits than its factorization.

101719380132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42817 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 101719380132 in words is "one hundred one billion, seven hundred nineteen million, three hundred eighty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1867 3734 5601 7468 11202 16803 22404 33606 40903 67212 69079 81806 122709 138158 163612 207237 245418 276316 368127 414474 490836 621711 736254 828948 1243422 1472508 1513411 2486844 3026822 4540233 6053644 9080466 13620699 18160932 27241398 54482796 76365901 152731802 229097703 305463604 458195406 687293109 916390812 1374586218 2749172436 2825538337 5651076674 8476615011 11302153348 16953230022 25429845033 33906460044 50859690066 101719380132