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100148355055104 = 293229284719441
BaseRepresentation
bin10110110001010110011011…
…001000001011111000000000
3111010121002102001112011222020
4112301112123020023320000
5101111312312343230404
6552555304050241440
730044323412251626
oct2661263310137000
9433532361464866
10100148355055104
1129a01751625934
12b295509586280
1343b5c45984115
141aa32c5d2d516
15b8a14dc72ed9
hex5b159b20be00

100148355055104 has 80 divisors (see below), whose sum is σ = 267966550032720. Its totient is φ = 33237008547840.

The previous prime is 100148355055079. The next prime is 100148355055207. The reversal of 100148355055104 is 401550553841001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 142007977 + ... + 142711464.

It is an arithmetic number, because the mean of its divisors is an integer number (3349581875409).

Almost surely, 2100148355055104 is an apocalyptic number.

It is an amenable number.

100148355055104 is an abundant number, since it is smaller than the sum of its proper divisors (167818194977616).

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

100148355055104 is an equidigital number, since it uses as much as digits as its factorization.

100148355055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284719691 (or 284719675 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 42.

The spelling of 100148355055104 in words is "one hundred trillion, one hundred forty-eight billion, three hundred fifty-five million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 229 256 384 458 512 687 768 916 1374 1536 1832 2748 3664 5496 7328 10992 14656 21984 29312 43968 58624 87936 117248 175872 351744 284719441 569438882 854158323 1138877764 1708316646 2277755528 3416633292 4555511056 6833266584 9111022112 13666533168 18222044224 27333066336 36444088448 54666132672 65200751989 72888176896 109332265344 130401503978 145776353792 195602255967 218664530688 260803007956 391204511934 437329061376 521606015912 782409023868 1043212031824 1564818047736 2086424063648 3129636095472 4172848127296 6259272190944 8345696254592 12518544381888 16691392509184 25037088763776 33382785018368 50074177527552 100148355055104