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100131430 = 25741139251
BaseRepresentation
bin1011111011111…
…10001001100110
320222102012111111
411331332021212
5201113201210
613534055234
72324050240
oct575761146
9228365444
10100131430
1151581253
122964a51a
131798b589
14d427090
158bcd88a
hex5f7e266

100131430 has 64 divisors (see below), whose sum is σ = 213373440. Its totient is φ = 33120000.

The previous prime is 100131419. The next prime is 100131431. The reversal of 100131430 is 34131001.

It is a self number, because there is not a number n which added to its sum of digits gives 100131430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100131431) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 398805 + ... + 399055.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2100131430 is an apocalyptic number.

100131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100131430 is an abundant number, since it is smaller than the sum of its proper divisors (113242010).

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

100131430 is a wasteful number, since it uses less digits than its factorization.

100131430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 100131430 is about 10006.5693421872. The cubic root of 100131430 is about 464.3621423463.

Adding to 100131430 its reverse (34131001), we get a palindrome (134262431).

The spelling of 100131430 in words is "one hundred million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 41 70 82 139 205 251 278 287 410 502 574 695 973 1255 1390 1435 1757 1946 2510 2870 3514 4865 5699 8785 9730 10291 11398 17570 20582 28495 34889 39893 51455 56990 69778 72037 79786 102910 144074 174445 199465 244223 348890 360185 398930 488446 720370 1221115 1430449 2442230 2860898 7152245 10013143 14304490 20026286 50065715 100131430