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100010151700 = 225217320318367
BaseRepresentation
bin101110100100100010…
…0011100111100010100
3100120010212202002202121
41131021010130330110
53114310044323300
6113535524345324
710140226156204
oct1351104347424
9316125662677
10100010151700
113946113a238
1217471245244
13957a955374
144baa544404
15290509281a
hex174911cf14

100010151700 has 72 divisors (see below), whose sum is σ = 229872287232. Its totient is φ = 37637076480.

The previous prime is 100010151691. The next prime is 100010151733. The reversal of 100010151700 is 7151010001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5435917 + ... + 5454283.

It is an arithmetic number, because the mean of its divisors is an integer number (3192670656).

Almost surely, 2100010151700 is an apocalyptic number.

100010151700 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 100010151700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114936143616).

100010151700 is an abundant number, since it is smaller than the sum of its proper divisors (129862135532).

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

100010151700 is a wasteful number, since it uses less digits than its factorization.

100010151700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21601 (or 21594 counting only the distinct ones).

The product of its (nonzero) digits is 35, while the sum is 16.

Adding to 100010151700 its reverse (7151010001), we get a palindrome (107161161701).

The spelling of 100010151700 in words is "one hundred billion, ten million, one hundred fifty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 3203 6406 12812 16015 18367 32030 36734 54451 64060 73468 80075 91835 108902 160150 183670 217804 272255 312239 320300 367340 459175 544510 624478 918350 1089020 1248956 1361275 1561195 1836700 2722550 3122390 5445100 6244780 7805975 15611950 31223900 58829501 117659002 235318004 294147505 588295010 1000101517 1176590020 1470737525 2000203034 2941475050 4000406068 5000507585 5882950100 10001015170 20002030340 25002537925 50005075850 100010151700