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1001225351100 = 22352131574916301
BaseRepresentation
bin11101001000111011010…
…11100110111110111100
310112201100010010201012010
432210131223212332330
5112401002142213400
62043542342011220
7132223204031142
oct16443553467674
93481303121163
101001225351100
11356687677357
12142064416b10
13735520c7c70
1436661095592
151b09e10d450
hexe91dae6fbc

1001225351100 has 144 divisors (see below), whose sum is σ = 3120104988000. Its totient is φ = 246424704000.

The previous prime is 1001225351003. The next prime is 1001225351129. The reversal of 1001225351100 is 11535221001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61412950 + ... + 61429250.

It is an arithmetic number, because the mean of its divisors is an integer number (21667395750).

Almost surely, 21001225351100 is an apocalyptic number.

1001225351100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001225351100 is an abundant number, since it is smaller than the sum of its proper divisors (2118879636900).

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

1001225351100 is a wasteful number, since it uses less digits than its factorization.

1001225351100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32080 (or 32073 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 1001225351100 in words is "one trillion, one billion, two hundred twenty-five million, three hundred fifty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 15749 16301 31498 32602 47247 48903 62996 65204 78745 81505 94494 97806 157490 163010 188988 195612 204737 211913 236235 244515 314980 326020 393725 407525 409474 423826 472470 489030 614211 635739 787450 815050 818948 847652 944940 978060 1023685 1059565 1181175 1222575 1228422 1271478 1574900 1630100 2047370 2119130 2362350 2445150 2456844 2542956 3071055 3178695 4094740 4238260 4724700 4890300 5118425 5297825 6142110 6357390 10236850 10595650 12284220 12714780 15355275 15893475 20473700 21191300 30710550 31786950 61421100 63573900 256724449 513448898 770173347 1026897796 1283622245 1540346694 2567244490 3080693388 3337417837 3850866735 5134488980 6418111225 6674835674 7701733470 10012253511 12836222450 13349671348 15403466940 16687089185 19254333675 20024507022 25672444900 33374178370 38508667350 40049014044 50061267555 66748356740 77017334700 83435445925 100122535110 166870891850 200245070220 250306337775 333741783700 500612675550 1001225351100