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1001100000240 = 243257247191861
BaseRepresentation
bin11101001000101100011…
…01011011101111110000
310112201000101021020010200
432210112031123233300
5112400223100001430
62043522103155200
7132220122412554
oct16442615335760
93481011236120
101001100000240
113566229403aa
1214202a445b00
1373532149662
143664c585864
151b0930ec460
hexe91635bbf0

1001100000240 has 120 divisors (see below), whose sum is σ = 3362508946368. Its totient is φ = 266921771520.

The previous prime is 1001100000239. The next prime is 1001100000269. The reversal of 1001100000240 is 420000011001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5121910 + ... + 5313770.

Almost surely, 21001100000240 is an apocalyptic number.

1001100000240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001100000240 is an abundant number, since it is smaller than the sum of its proper divisors (2361408946128).

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

1001100000240 is a wasteful number, since it uses less digits than its factorization.

1001100000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199127 (or 199118 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1001100000240 its reverse (420000011001), we get a palindrome (1421100011241).

The spelling of 1001100000240 in words is "one trillion, one billion, one hundred million, two hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 7247 14494 21741 28988 36235 43482 57976 65223 72470 86964 108705 115952 130446 144940 173928 191861 217410 260892 289880 326115 347856 383722 434820 521784 575583 579760 652230 767444 869640 959305 1043568 1151166 1304460 1534888 1726749 1739280 1918610 2302332 2608920 2877915 3069776 3453498 3837220 4604664 5217840 5755830 6906996 7674440 8633745 9209328 11511660 13813992 15348880 17267490 23023320 27627984 34534980 46046640 69069960 138139920 1390416667 2780833334 4171250001 5561666668 6952083335 8342500002 11123333336 12513750003 13904166670 16685000004 20856250005 22246666672 25027500006 27808333340 33370000008 41712500010 50055000012 55616666680 62568750015 66740000016 83425000020 100110000024 111233333360 125137500030 166850000040 200220000048 250275000060 333700000080 500550000120 1001100000240