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100891422 = 23231473847
BaseRepresentation
bin1100000001101…
…11101100011110
321000211211000100
412000313230132
5201312011142
614002241530
72333364042
oct600675436
9230754010
10100891422
1151a50245
12299562a6
1317b96488
14d584022
158ccdb4c
hex6037b1e

100891422 has 48 divisors (see below), whose sum is σ = 230510592. Its totient is φ = 31844880.

The previous prime is 100891421. The next prime is 100891423. The reversal of 100891422 is 224198001.

It is an interprime number because it is at equal distance from previous prime (100891421) and next prime (100891423).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100891421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24303 + ... + 28149.

It is an arithmetic number, because the mean of its divisors is an integer number (4802304).

Almost surely, 2100891422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100891422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115255296).

100891422 is an abundant number, since it is smaller than the sum of its proper divisors (129619170).

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

100891422 is a wasteful number, since it uses less digits than its factorization.

100891422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3933 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100891422 is about 10044.4722111219. The cubic root of 100891422 is about 465.5340101591.

It can be divided in two parts, 10089 and 1422, that added together give a palindrome (11511).

The spelling of 100891422 in words is "one hundred million, eight hundred ninety-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 141 186 279 282 423 558 846 1457 2914 3847 4371 7694 8742 11541 13113 23082 26226 34623 69246 119257 180809 238514 357771 361618 542427 715542 1073313 1084854 1627281 2146626 3254562 5605079 11210158 16815237 33630474 50445711 100891422