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100231992 = 23347191163
BaseRepresentation
bin1011111100101…
…10101100111000
320222121022110000
411332112230320
5201124410432
613540153000
72324646360
oct576265470
9228538400
10100231992
115163a863
1229698760
13179c5293
14d4519a0
158bed57c
hex5f96b38

100231992 has 160 divisors (see below), whose sum is σ = 338025600. Its totient is φ = 27107136.

The previous prime is 100231987. The next prime is 100231997. The reversal of 100231992 is 299132001.

It is an interprime number because it is at equal distance from previous prime (100231987) and next prime (100231997).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231997) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85603 + ... + 86765.

It is an arithmetic number, because the mean of its divisors is an integer number (2112660).

Almost surely, 2100231992 is an apocalyptic number.

100231992 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 100231992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169012800).

100231992 is an abundant number, since it is smaller than the sum of its proper divisors (237793608).

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

100231992 is a wasteful number, since it uses less digits than its factorization.

100231992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 100231992 is about 10011.5928802564. The cubic root of 100231992 is about 464.5175433089.

Adding to 100231992 its reverse (299132001), we get a palindrome (399363993).

The spelling of 100231992 in words is "one hundred million, two hundred thirty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1163 1197 1368 1512 1539 1596 2052 2268 2326 2394 3078 3192 3489 3591 4104 4536 4652 4788 6156 6978 7182 8141 9304 9576 10467 10773 12312 13956 14364 16282 20934 21546 22097 24423 27912 28728 31401 32564 41868 43092 44194 48846 62802 65128 66291 73269 83736 86184 88388 94203 97692 125604 132582 146538 154679 176776 188406 195384 198873 219807 251208 265164 293076 309358 376812 397746 439614 464037 530328 586152 596619 618716 659421 753624 795492 879228 928074 1193238 1237432 1318842 1392111 1590984 1758456 1789857 1856148 2386476 2637684 2784222 3579714 3712296 4176333 4772952 5275368 5568444 7159428 8352666 11136888 12528999 14318856 16705332 25057998 33410664 50115996 100231992