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100244043332004 = 223111325038933671
BaseRepresentation
bin10110110010101111100010…
…100101111111100110100100
3111010221020101201220022001210
4112302233202211333212210
5101114344300043111004
6553111251110151420
730054251562220065
oct2662574245774644
9433836351808053
10100244043332004
1129a39295116610
12b2abb73352570
1343c1c850cb400
141aa7ba249456c
15b8c89e6b0089
hex5b2be297f9a4

100244043332004 has 144 divisors (see below), whose sum is σ = 276854066463744. Its totient is φ = 27984542601600.

The previous prime is 100244043331987. The next prime is 100244043332033. The reversal of 100244043332004 is 400233340442001.

It is a happy number.

It is a super-2 number, since 2×1002440433320042 (a number of 29 digits) contains 22 as substring.

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, 6754089 + ... + 15687759.

It is an arithmetic number, because the mean of its divisors is an integer number (1922597683776).

Almost surely, 2100244043332004 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 100244043332004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138427033231872).

100244043332004 is an abundant number, since it is smaller than the sum of its proper divisors (176610023131740).

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

100244043332004 is a wasteful number, since it uses less digits than its factorization.

100244043332004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8934218 (or 8934203 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 100244043332004 its reverse (400233340442001), we get a palindrome (500477383774005).

The spelling of 100244043332004 in words is "one hundred trillion, two hundred forty-four billion, forty-three million, three hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 169 286 338 429 503 507 572 676 858 1006 1014 1509 1716 1859 2012 2028 3018 3718 5533 5577 6036 6539 7436 11066 11154 13078 16599 19617 22132 22308 26156 33198 39234 66396 71929 78468 85007 143858 170014 215787 255021 287716 340028 431574 510042 863148 935077 1020084 1870154 2805231 3740308 5610462 8933671 11220924 17867342 26801013 35734684 53602026 98270381 107204052 116137723 196540762 232275446 294811143 348413169 393081524 464550892 589622286 696826338 1179244572 1277514953 1393652676 1509790399 2555029906 3019580798 3832544859 4493636513 4529371197 5110059812 6039161596 7665089718 8987273026 9058742394 13480909539 15330179436 16607694389 17974546052 18117484788 26961819078 33215388778 49430001643 49823083167 53923638156 58417274669 66430777556 98860003286 99646166334 116834549338 148290004929 175251824007 197720006572 199292332668 233669098676 296580009858 350503648014 593160019716 642590021359 701007296028 759424570697 1285180042718 1518849141394 1927770064077 2278273712091 2570360085436 3037698282788 3855540128154 4556547424182 7711080256308 8353670277667 9113094848364 16707340555334 25061010833001 33414681110668 50122021666002 100244043332004