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101228424 = 23311596797
BaseRepresentation
bin1100000100010…
…01111110001000
321001110221021220
412002021332020
5201403302144
614013402040
72336266413
oct602117610
9231427256
10101228424
1152160460
1229a99320
1317c8399b
14d630b7a
158d48919
hex6089f88

101228424 has 128 divisors (see below), whose sum is σ = 287884800. Its totient is φ = 29399040.

The previous prime is 101228399. The next prime is 101228431. The reversal of 101228424 is 424822101.

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 = 101228394 and 101228403.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1043544 + ... + 1043640.

It is an arithmetic number, because the mean of its divisors is an integer number (2249100).

Almost surely, 2101228424 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 101228424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143942400).

101228424 is an abundant number, since it is smaller than the sum of its proper divisors (186656376).

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

101228424 is a wasteful number, since it uses less digits than its factorization.

101228424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 101228424 is about 10061.2337215672. The cubic root of 101228424 is about 466.0517665542.

The spelling of 101228424 in words is "one hundred one million, two hundred twenty-eight thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 59 66 67 88 97 118 132 134 177 194 201 236 264 268 291 354 388 402 472 536 582 649 708 737 776 804 1067 1164 1298 1416 1474 1608 1947 2134 2211 2328 2596 2948 3201 3894 3953 4268 4422 5192 5723 5896 6402 6499 7788 7906 8536 8844 11446 11859 12804 12998 15576 15812 17169 17688 19497 22892 23718 25608 25996 31624 34338 38994 43483 45784 47436 51992 62953 68676 71489 77988 86966 94872 125906 130449 137352 142978 155976 173932 188859 214467 251812 260898 285956 347864 377718 383441 428934 503624 521796 571912 755436 766882 857868 1043592 1150323 1510872 1533764 1715736 2300646 3067528 4217851 4601292 8435702 9202584 12653553 16871404 25307106 33742808 50614212 101228424