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1100100001104 = 2432134114333177
BaseRepresentation
bin10000000000100011000…
…100011101110101010000
310220011112212020100110100
4100000203010131311100
5121011001100013404
62201213504532400
7142323334502646
oct20004304356520
93804485210410
101100100001104
11394605853335
12159259321100
137c97b71c420
143b360899196
151d939655d39
hex1002311dd50

1100100001104 has 120 divisors (see below), whose sum is σ = 3396447191592. Its totient is φ = 330236375040.

The previous prime is 1100100001103. The next prime is 1100100001109. The reversal of 1100100001104 is 4011000010011.

It can be written as a sum of positive squares in 4 ways, for example, as 76036959504 + 1024063041600 = 275748^2 + 1011960^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7089837 + ... + 7243340.

Almost surely, 21100100001104 is an apocalyptic number.

It is an amenable number.

1100100001104 is an abundant number, since it is smaller than the sum of its proper divisors (2296347190488).

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

1100100001104 is a wasteful number, since it uses less digits than its factorization.

1100100001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14333245 (or 14333236 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1100100001104 its reverse (4011000010011), we get a palindrome (5111100011115).

The spelling of 1100100001104 in words is "one trillion, one hundred billion, one hundred million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1599 1872 1968 2132 2952 3198 4264 4797 5904 6396 8528 9594 12792 19188 25584 38376 76752 14333177 28666354 42999531 57332708 85999062 114665416 128998593 171998124 186331301 229330832 257997186 343996248 372662602 515994372 558993903 587660257 687992496 745325204 1031988744 1117987806 1175320514 1490650408 1676981709 1762980771 2063977488 2235975612 2350641028 2981300816 3353963418 3525961542 4471951224 4701282056 5288942313 6707926836 7051923084 7639583341 8943902448 9402564112 10577884626 13415853672 14103846168 15279166682 21155769252 22918750023 26831707344 28207692336 30558333364 42311538504 45837500046 61116666728 68756250069 84623077008 91675000092 122233333456 137512500138 183350000184 275025000276 366700000368 550050000552 1100100001104