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401213124 = 22321317211239
BaseRepresentation
bin10111111010100…
…000011011000100
31000221221201221100
4113322200123010
51310202304444
6103451220100
712641153364
oct2772403304
91027851840
10401213124
111965243a4
12b2447630
1365177820
143b3dc9a4
1525352e69
hex17ea06c4

401213124 has 144 divisors (see below), whose sum is σ = 1166780160. Its totient is φ = 115153920.

The previous prime is 401213117. The next prime is 401213143. The reversal of 401213124 is 421312104.

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 = 401213097 and 401213106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1678597 + ... + 1678835.

It is an arithmetic number, because the mean of its divisors is an integer number (8102640).

Almost surely, 2401213124 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 401213124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583390080).

401213124 is an abundant number, since it is smaller than the sum of its proper divisors (765567036).

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

401213124 is a wasteful number, since it uses less digits than its factorization.

401213124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

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

The square root of 401213124 is about 20030.3051399623. The cubic root of 401213124 is about 737.5504124880.

Adding to 401213124 its reverse (421312104), we get a palindrome (822525228).

The spelling of 401213124 in words is "four hundred one million, two hundred thirteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 34 36 39 51 52 68 78 102 117 153 156 204 211 221 234 239 306 422 442 468 478 612 633 663 717 844 884 956 1266 1326 1434 1899 1989 2151 2532 2652 2743 2868 3107 3587 3798 3978 4063 4302 5486 6214 7174 7596 7956 8126 8229 8604 9321 10761 10972 12189 12428 14348 16252 16458 18642 21522 24378 24687 27963 32283 32916 36567 37284 43044 46631 48756 49374 50429 52819 55926 64566 73134 93262 98748 100858 105638 111852 129132 139893 146268 151287 158457 186524 201716 211276 279786 302574 316914 419679 453861 475371 559572 605148 633828 655577 839358 857293 907722 950742 1311154 1678716 1714586 1815444 1901484 1966731 2571879 2622308 3429172 3933462 5143758 5900193 7715637 7866924 10287516 11144809 11800386 15431274 22289618 23600772 30862548 33434427 44579236 66868854 100303281 133737708 200606562 401213124