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1090459970100 = 223352988740849
BaseRepresentation
bin11111101111001000111…
…10101010101000110100
310212020200000211000222000
433313210132222220310
5120331230223020400
62152541141335300
7141532420545204
oct17674436525064
93766600730860
101090459970100
11390509252366
12157408a07530
137baa3498877
143aac847a404
151d5731a0600
hexfde47aaa34

1090459970100 has 144 divisors (see below), whose sum is σ = 3506067264000. Its totient is φ = 290752796160.

The previous prime is 1090459970027. The next prime is 1090459970137. The reversal of 1090459970100 is 10799540901.

1090459970100 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 459 + 97 + 0 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26674476 + ... + 26715324.

Almost surely, 21090459970100 is an apocalyptic number.

1090459970100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1090459970100 is an abundant number, since it is smaller than the sum of its proper divisors (2415607293900).

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

1090459970100 is a wasteful number, since it uses less digits than its factorization.

1090459970100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50759 (or 50746 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 1090459970100 in words is "one trillion, ninety billion, four hundred fifty-nine million, nine hundred seventy thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 9887 19774 29661 39548 40849 49435 59322 81698 88983 98870 118644 122547 148305 163396 177966 197740 204245 245094 247175 266949 296610 355932 367641 408490 444915 490188 494350 533898 593220 612735 735282 741525 816980 889830 988700 1021225 1067796 1102923 1225470 1334745 1470564 1483050 1779660 1838205 2042450 2205846 2224575 2450940 2669490 2966100 3063675 3676410 4084900 4411692 4449150 5338980 5514615 6127350 6673725 7352820 8898300 9191025 11029230 12254700 13347450 18382050 22058460 26694900 27573075 36764100 55146150 110292300 403874063 807748126 1211622189 1615496252 2019370315 2423244378 3634866567 4038740630 4846488756 6058110945 7269733134 8077481260 10096851575 10904599701 12116221890 14539466268 18174332835 20193703150 21809199402 24232443780 30290554725 36348665670 40387406300 43618398804 54522998505 60581109450 72697331340 90871664175 109045997010 121162218900 181743328350 218091994020 272614992525 363486656700 545229985050 1090459970100