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101423124 = 223311591447
BaseRepresentation
bin1100000101110…
…01100000010100
321001211211101000
412002321200110
5201431014444
614021503300
72341040145
oct602714024
9231754330
10101423124
1152283770
1229b71b30
13180214aa
14d681acc
158d86469
hex60b9814

101423124 has 96 divisors (see below), whose sum is σ = 291916800. Its totient is φ = 30192480.

The previous prime is 101423117. The next prime is 101423131. The reversal of 101423124 is 421324101.

It is an interprime number because it is at equal distance from previous prime (101423117) and next prime (101423131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101423097 and 101423106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69369 + ... + 70815.

It is an arithmetic number, because the mean of its divisors is an integer number (3040800).

Almost surely, 2101423124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101423124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145958400).

101423124 is an abundant number, since it is smaller than the sum of its proper divisors (190493676).

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

101423124 is a wasteful number, since it uses less digits than its factorization.

101423124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 101423124 is about 10070.9048252875. The cubic root of 101423124 is about 466.3503722938.

Adding to 101423124 its reverse (421324101), we get a palindrome (522747225).

The spelling of 101423124 in words is "one hundred one million, four hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 59 66 99 108 118 132 177 198 236 297 354 396 531 594 649 708 1062 1188 1298 1447 1593 1947 2124 2596 2894 3186 3894 4341 5788 5841 6372 7788 8682 11682 13023 15917 17364 17523 23364 26046 31834 35046 39069 47751 52092 63668 70092 78138 85373 95502 143253 156276 170746 191004 256119 286506 341492 429759 512238 573012 768357 859518 939103 1024476 1536714 1719036 1878206 2305071 2817309 3073428 3756412 4610142 5634618 8451927 9220284 11269236 16903854 25355781 33807708 50711562 101423124