Search a number
-
+
100035443107104 = 2532987740971803
BaseRepresentation
bin10110101111101101010001…
…000011010010010100100000
3111010012021222000202220220020
4112233231101003102110200
5101102440041413411404
6552431351555313440
730033215351446101
oct2657552103222440
9433167860686806
10100035443107104
112996887a79612a
12b2776575ab880
1343a83c00c207b
141a9ba541043a8
15b872411caed9
hex5afb510d2520

100035443107104 has 96 divisors (see below), whose sum is σ = 271957723974720. Its totient is φ = 32158603502592.

The previous prime is 100035443107087. The next prime is 100035443107123. The reversal of 100035443107104 is 401701344530001.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18044334 + ... + 22927469.

It is an arithmetic number, because the mean of its divisors is an integer number (2832892958070).

Almost surely, 2100035443107104 is an apocalyptic number.

It is an amenable number.

100035443107104 is an abundant number, since it is smaller than the sum of its proper divisors (171922280867616).

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

100035443107104 is a wasteful number, since it uses less digits than its factorization.

100035443107104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40972722 (or 40972714 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 100035443107104 its reverse (401701344530001), we get a palindrome (501736787637105).

The spelling of 100035443107104 in words is "one hundred trillion, thirty-five billion, four hundred forty-three million, one hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 877 928 1392 1754 2631 2784 3508 5262 7016 10524 14032 21048 25433 28064 42096 50866 76299 84192 101732 152598 203464 305196 406928 610392 813856 1220784 2441568 40971803 81943606 122915409 163887212 245830818 327774424 491661636 655548848 983323272 1188182287 1311097696 1966646544 2376364574 3564546861 3933293088 4752729148 7129093722 9505458296 14258187444 19010916592 28516374888 35932271231 38021833184 57032749776 71864542462 107796813693 114065499552 143729084924 215593627386 287458169848 431187254772 574916339696 862374509544 1042035865699 1149832679392 1724749019088 2084071731398 3126107597097 3449498038176 4168143462796 6252215194194 8336286925592 12504430388388 16672573851184 25008860776776 33345147702368 50017721553552 100035443107104