Search a number
-
+
100100011049960 = 23543101815716303
BaseRepresentation
bin10110110000101001011001…
…100110011100001111101000
3111010102110121212202021020012
4112300221121212130033220
5101110014310312044320
6552521151002351052
730040662406062335
oct2660513146341750
9433373555667205
10100100011049960
11299931a36aa279
12b2880771bb488
1343b151002410c
141aa0c1b50b98c
15b88c6e98d4c5
hex5b0a5999c3e8

100100011049960 has 64 divisors (see below), whose sum is σ = 230485493018880. Its totient is φ = 39104993329920.

The previous prime is 100100011049881. The next prime is 100100011049981. The reversal of 100100011049960 is 69940110001001.

It is a super-2 number, since 2×1001000110499602 (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 14653169 + ... + 20369471.

It is an arithmetic number, because the mean of its divisors is an integer number (3601335828420).

Almost surely, 2100100011049960 is an apocalyptic number.

100100011049960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100011049960 is an abundant number, since it is smaller than the sum of its proper divisors (130385481968920).

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

100100011049960 is a wasteful number, since it uses less digits than its factorization.

100100011049960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726538 (or 5726534 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 32.

The spelling of 100100011049960 in words is "one hundred trillion, one hundred billion, eleven million, forty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 10181 20362 40724 50905 81448 101810 203620 407240 437783 875566 1751132 2188915 3502264 4377830 5716303 8755660 11432606 17511320 22865212 28581515 45730424 57163030 114326060 228652120 245801029 491602058 983204116 1229005145 1966408232 2458010290 4916020580 9832041160 58197680843 116395361686 232790723372 290988404215 465581446744 581976808430 1163953616860 2327907233720 2502500276249 5005000552498 10010001104996 12512501381245 20020002209992 25025002762490 50050005524980 100100011049960