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1001001100120 = 235721366937363
BaseRepresentation
bin11101001000100000101…
…00001010001101011000
310112200202111011120200021
432210100110022031120
5112400022240200440
62043504211320224
7132214511651200
oct16442024121530
93480674146607
101001001100120
1135658203026a
121420012b0074
13735177cc688
143663d39d400
151b0895b384a
hexe91050a358

1001001100120 has 96 divisors (see below), whose sum is σ = 2620228964400. Its totient is φ = 343166084352.

The previous prime is 1001001100087. The next prime is 1001001100123. The reversal of 1001001100120 is 210011001001.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001001100123) 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, 26772559 + ... + 26809921.

Almost surely, 21001001100120 is an apocalyptic number.

1001001100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001001100120 is an abundant number, since it is smaller than the sum of its proper divisors (1619227864280).

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

1001001100120 is a wasteful number, since it uses less digits than its factorization.

1001001100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51057 (or 51046 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1001001100120 its reverse (210011001001), we get a palindrome (1211012101121).

The spelling of 1001001100120 in words is "one trillion, one billion, one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 13669 27338 37363 54676 68345 74726 95683 109352 136690 149452 186815 191366 261541 273380 298904 373630 382732 478415 523082 546760 669781 747260 765464 956830 1046164 1307705 1339562 1494520 1830787 1913660 2092328 2615410 2679124 3348905 3661574 3827320 5230820 5358248 6697810 7323148 9153935 10461640 13395620 14646296 18307870 26791240 36615740 73231480 510714847 1021429694 2042859388 2553574235 3575003929 4085718776 5107148470 7150007858 10214296940 14300015716 17875019645 20428593880 25025027503 28600031432 35750039290 50050055006 71500078580 100100110012 125125137515 143000157160 200200220024 250250275030 500500550060 1001001100120