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10140055363100 = 22521331661380657
BaseRepresentation
bin1001001110001110101001…
…1001011101111000011100
31022220101020220002212110202
42103203222121131320130
52312113313133104400
633322135505323032
72064411011316125
oct223435231357034
938811226085422
1010140055363100
11325a4119a1293
121179264036478
13587284332a40
14270ad1c4d04c
15128b7594d4d5
hex938ea65de1c

10140055363100 has 144 divisors (see below), whose sum is σ = 24498003860736. Its totient is φ = 3617754624000.

The previous prime is 10140055363073. The next prime is 10140055363169. The reversal of 10140055363100 is 136355004101.

It is a super-2 number, since 2×101400553631002 (a number of 27 digits) contains 22 as substring.

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, 26447972 + ... + 26828628.

Almost surely, 210140055363100 is an apocalyptic number.

10140055363100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10140055363100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249001930368).

10140055363100 is an abundant number, since it is smaller than the sum of its proper divisors (14357948497636).

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

10140055363100 is a wasteful number, since it uses less digits than its factorization.

10140055363100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381376 (or 381369 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 10140055363100 in words is "ten trillion, one hundred forty billion, fifty-five million, three hundred sixty-three thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 260 310 325 403 620 650 661 775 806 1300 1322 1550 1612 2015 2644 3100 3305 4030 6610 8060 8593 10075 13220 16525 17186 20150 20491 33050 34372 40300 40982 42965 66100 81964 85930 102455 171860 204910 214825 266383 380657 409820 429650 512275 532766 761314 859300 1024550 1065532 1331915 1522628 1903285 2049100 2663830 3806570 4948541 5327660 6659575 7613140 9516425 9897082 11800367 13319150 19032850 19794164 23600734 24742705 26638300 38065700 47201468 49485410 59001835 98970820 118003670 123713525 153404771 236007340 247427050 251614277 295009175 306809542 494854100 503228554 590018350 613619084 767023855 1006457108 1180036700 1258071385 1534047710 2516142770 3068095420 3270985601 3835119275 5032285540 6290356925 6541971202 7670238550 7800042587 12580713850 13083942404 15340477100 15600085174 16354928005 25161427700 31200170348 32709856010 39000212935 65419712020 78000425870 81774640025 101400553631 156000851740 163549280050 195001064675 202801107262 327098560100 390002129350 405602214524 507002768155 780004258700 1014005536310 2028011072620 2535013840775 5070027681550 10140055363100