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1101000212032 = 26731149532061
BaseRepresentation
bin10000000001011000101…
…110011111111001000000
310220020212121010210200211
4100001120232133321000
5121014322023241112
62201443103323504
7142354545250420
oct20013056377100
93806777123624
101101000212032
11394a27a0a106
1215946a8b0594
137ca9308ab06
143b40826c480
151d98d6c50a7
hex10058b9fe40

1101000212032 has 112 divisors (see below), whose sum is σ = 2594759961600. Its totient is φ = 453570508800.

The previous prime is 1101000212021. The next prime is 1101000212033. The reversal of 1101000212032 is 2302120001011.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (1101000212033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803282 + ... + 2335342.

Almost surely, 21101000212032 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 1101000212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297379980800).

1101000212032 is an abundant number, since it is smaller than the sum of its proper divisors (1493759749568).

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

1101000212032 is a wasteful number, since it uses less digits than its factorization.

1101000212032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532260 (or 532250 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1101000212032 its reverse (2302120001011), we get a palindrome (3403120213043).

The spelling of 1101000212032 in words is "one trillion, one hundred one billion, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 149 217 224 248 298 434 448 496 596 868 992 1043 1192 1736 1984 2086 2384 3472 4172 4619 4768 6944 8344 9238 9536 13888 16688 18476 32333 33376 36952 64666 66752 73904 129332 147808 258664 295616 517328 532061 1034656 1064122 2069312 2128244 3724427 4256488 7448854 8512976 14897708 16493891 17025952 29795416 32987782 34051904 59590832 65975564 79277089 115457237 119181664 131951128 158554178 230914474 238363328 263902256 317108356 461828948 527804512 554939623 634216712 923657896 1055609024 1109879246 1268433424 1847315792 2219758492 2457589759 2536866848 3694631584 4439516984 4915179518 5073733696 7389263168 8879033968 9830359036 17203128313 17758067936 19660718072 34406256626 35516135872 39321436144 68812513252 78642872288 137625026504 157285744576 275250053008 550500106016 1101000212032