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100542043134045 = 335107211178918439
BaseRepresentation
bin10110110111000101000100…
…110001000001100001011101
3111011222201120212002202001000
4112313011010301001201131
5101134240101020242140
6553500213232140513
730114631361564502
oct2667050461014135
9434881525082030
10100542043134045
112a043706250547
12b33987a997739
1344140c6713816
141ab8391ac94a9
15b954e146ca30
hex5b7144c4185d

100542043134045 has 128 divisors (see below), whose sum is σ = 181378082304000. Its totient is φ = 52837101031680.

The previous prime is 100542043134037. The next prime is 100542043134101. The reversal of 100542043134045 is 540431340245001.

100542043134045 is a `hidden beast` number, since 1 + 0 + 0 + 542 + 0 + 4 + 31 + 3 + 40 + 45 = 666.

It is not a de Polignac number, because 100542043134045 - 23 = 100542043134037 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5452674936 + ... + 5452693374.

It is an arithmetic number, because the mean of its divisors is an integer number (1417016268000).

Almost surely, 2100542043134045 is an apocalyptic number.

100542043134045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100542043134045 is a deficient number, since it is larger than the sum of its proper divisors (80836039169955).

100542043134045 is a wasteful number, since it uses less digits than its factorization.

100542043134045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20560 (or 20554 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 100542043134045 its reverse (540431340245001), we get a palindrome (640973383379046).

The spelling of 100542043134045 in words is "one hundred trillion, five hundred forty-two billion, forty-three million, one hundred thirty-four thousand, forty-five".

Divisors: 1 3 5 9 15 27 45 107 135 211 321 535 633 963 1055 1605 1789 1899 2889 3165 4815 5367 5697 8945 9495 14445 16101 18439 22577 26835 28485 48303 55317 67731 80505 92195 112885 165951 191423 203193 241515 276585 338655 377479 497853 574269 609579 829755 957115 1015965 1132437 1722807 1887395 1972973 2489265 2871345 3047895 3397311 3890629 5168421 5662185 5918919 8614035 9864865 10191933 11671887 16986555 17756757 19453145 25842105 29594595 32987371 35015661 40390253 50959665 53270271 58359435 88783785 98962113 105046983 121170759 164936855 175078305 201951265 266351355 296886339 363512277 416297303 494810565 525234915 605853795 890659017 1090536831 1248891909 1484431695 1817561385 2081486515 3529648697 3746675727 4453295085 5452684155 6244459545 6960335281 10588946091 11240027181 17648243485 18733378635 20881005843 31766838273 34801676405 52944730455 56200135905 62643017529 95300514819 104405029215 158834191365 187929052587 313215087645 476502574095 744755875067 939645262935 2234267625201 3723779375335 6702802875603 11171338126005 20108408626809 33514014378015 100542043134045