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10078121412 = 2234297115107
BaseRepresentation
bin10010110001011001…
…11110110111000100
3222000100202121120000
421120230332313010
5131114444341122
64344013041300
7504513422112
oct113054766704
928010677500
1010078121412
114301922867
121b53186230
13c47c40768
146b869aab2
153deb900ac
hex258b3edc4

10078121412 has 120 divisors (see below), whose sum is σ = 27640388160. Its totient is φ = 3197638080.

The previous prime is 10078121411. The next prime is 10078121413. The reversal of 10078121412 is 21412187001.

It is an interprime number because it is at equal distance from previous prime (10078121411) and next prime (10078121413).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10078121411) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 659563 + ... + 674669.

It is an arithmetic number, because the mean of its divisors is an integer number (230336568).

Almost surely, 210078121412 is an apocalyptic number.

10078121412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10078121412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820194080).

10078121412 is an abundant number, since it is smaller than the sum of its proper divisors (17562266748).

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

10078121412 is a wasteful number, since it uses less digits than its factorization.

10078121412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15223 (or 15212 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 10078121412 in words is "ten billion, seventy-eight million, one hundred twenty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 71 81 87 108 116 142 162 174 213 261 284 324 348 426 522 639 783 852 1044 1278 1566 1917 2059 2349 2556 3132 3834 4118 4698 5751 6177 7668 8236 9396 11502 12354 15107 18531 23004 24708 30214 37062 45321 55593 60428 74124 90642 111186 135963 166779 181284 222372 271926 333558 407889 438103 543852 667116 815778 876206 1072597 1223667 1314309 1631556 1752412 2145194 2447334 2628618 3217791 3942927 4290388 4894668 5257236 6435582 7885854 9653373 11828781 12871164 15771708 19306746 23657562 28960119 31105313 35486343 38613492 47315124 57920238 62210626 70972686 86880357 93315939 115840476 124421252 141945372 173760714 186631878 279947817 347521428 373263756 559895634 839843451 1119791268 1679686902 2519530353 3359373804 5039060706 10078121412