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100078484870001 = 31126713131411451
BaseRepresentation
bin10110110000010101010110…
…100010100101001101110001
3111010100102001200110000122210
4112300111112202211031301
5101104141214111320001
6552503230553522333
730036301102422231
oct2660252642451561
9433312050400583
10100078484870001
1129985057739700
12b283a6a1133a9
1343ac48c3bbc21
141a9db78669cc1
15b8840ec55dd6
hex5b05568a5371

100078484870001 has 48 divisors (see below), whose sum is σ = 149996970756864. Its totient is φ = 59292253020000.

The previous prime is 100078484869999. The next prime is 100078484870017.

100078484870001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100078484870001 - 21 = 100078484869999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100078484870401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12519675 + ... + 18891776.

It is an arithmetic number, because the mean of its divisors is an integer number (3124936890768).

Almost surely, 2100078484870001 is an apocalyptic number.

100078484870001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100078484870001 is a deficient number, since it is larger than the sum of its proper divisors (49918485886863).

100078484870001 is a wasteful number, since it uses less digits than its factorization.

100078484870001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31411674 (or 31411663 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 48.

The spelling of 100078484870001 in words is "one hundred trillion, seventy-eight billion, four hundred eighty-four million, eight hundred seventy thousand, one".

Divisors: 1 3 11 33 67 121 131 201 363 393 737 1441 2211 4323 8107 8777 15851 24321 26331 47553 96547 289641 1062017 3186051 31411451 94234353 345525961 1036577883 2104567217 3800785571 4114900081 6313701651 11402356713 12344700243 23150239387 45263900891 69450718161 135791702673 254652633257 275698305427 497902909801 763957899771 827094916281 1493708729403 3032681359697 9098044079091 33359494956667 100078484870001