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1002201011100 = 2232524127159919
BaseRepresentation
bin11101001010101111101…
…01011101001110011100
310112210212010000101002200
432211113311131032130
5112410001424323400
62044223233451500
7132256322016012
oct16452765351634
93483763011080
101002201011100
11357038386133
12142297110b90
1373679292483
14367148a88b2
151b109ad2b00
hexe957d5d39c

1002201011100 has 108 divisors (see below), whose sum is σ = 3217961641440. Its totient is φ = 260735212800.

The previous prime is 1002201011099. The next prime is 1002201011111. The reversal of 1002201011100 is 11101022001.

It is a happy number.

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 35 ways as a sum of consecutive naturals, for example, 13543060 + ... + 13616859.

Almost surely, 21002201011100 is an apocalyptic number.

1002201011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002201011100 is an abundant number, since it is smaller than the sum of its proper divisors (2215760630340).

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

1002201011100 is a wasteful number, since it uses less digits than its factorization.

1002201011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159980 (or 27159970 counting only the distinct ones).

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

Adding to 1002201011100 its reverse (11101022001), we get a palindrome (1013302033101).

The spelling of 1002201011100 in words is "one trillion, two billion, two hundred one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 41 45 50 60 75 82 90 100 123 150 164 180 205 225 246 300 369 410 450 492 615 738 820 900 1025 1230 1476 1845 2050 2460 3075 3690 4100 6150 7380 9225 12300 18450 36900 27159919 54319838 81479757 108639676 135799595 162959514 244439271 271599190 325919028 407398785 488878542 543198380 678997975 814797570 977757084 1113556679 1222196355 1357995950 1629595140 2036993925 2227113358 2444392710 2715991900 3340670037 4073987850 4454226716 4888785420 5567783395 6110981775 6681340074 8147975700 10022010111 11135566790 12221963550 13362680148 16703350185 20044020222 22271133580 24443927100 27838916975 33406700370 40088040444 50110050555 55677833950 66813400740 83516750925 100220101110 111355667900 167033501850 200440202220 250550252775 334067003700 501100505550 1002201011100