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101246424 = 233172943199
BaseRepresentation
bin1100000100011…
…10010111011000
321001111211222120
412002032113120
5201404341144
614014021240
72336403036
oct602162730
9231454876
10101246424
1152172a34
1229aa7820
1317c8bc36
14d637556
158d4de19
hex608e5d8

101246424 has 128 divisors (see below), whose sum is σ = 285120000. Its totient is φ = 29804544.

The previous prime is 101246417. The next prime is 101246461. The reversal of 101246424 is 424642101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101246394 and 101246403.

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, 508677 + ... + 508875.

It is an arithmetic number, because the mean of its divisors is an integer number (2227500).

Almost surely, 2101246424 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 101246424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142560000).

101246424 is an abundant number, since it is smaller than the sum of its proper divisors (183873576).

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

101246424 is a wasteful number, since it uses less digits than its factorization.

With its successor (101246425) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (293).

With its successor (101246425) it forms an eRAP, since the sums of their prime factors are consecutive (297 and 298).

101246424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 101246424 is about 10062.1282043115. The cubic root of 101246424 is about 466.0793886860.

Adding to 101246424 its reverse (424642101), we get a palindrome (525888525).

The spelling of 101246424 in words is "one hundred one million, two hundred forty-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 43 51 58 68 86 87 102 116 129 136 172 174 199 204 232 258 344 348 398 408 493 516 597 696 731 796 986 1032 1194 1247 1462 1479 1592 1972 2193 2388 2494 2924 2958 3383 3741 3944 4386 4776 4988 5771 5848 5916 6766 7482 8557 8772 9976 10149 11542 11832 13532 14964 17114 17313 17544 20298 21199 23084 25671 27064 29928 34228 34626 40596 42398 46168 51342 63597 68456 69252 81192 84796 98107 102684 127194 138504 145469 169592 196214 205368 248153 254388 290938 294321 392428 436407 496306 508776 581876 588642 744459 784856 872814 992612 1163752 1177284 1488918 1745628 1985224 2354568 2977836 3491256 4218601 5955672 8437202 12655803 16874404 25311606 33748808 50623212 101246424