Search a number
-
+
1070677000100 = 225211394750177
BaseRepresentation
bin11111001010010010101…
…00100111111110100100
310210100121022200000220102
433211021110213332210
5120020221303000400
62135510123523232
7140232242224631
oct17451124477644
93710538600812
101070677000100
11383087288184
12153607689518
1379c6ca5b866
1439b6cd2b188
151ccb65049d5
hexf949527fa4

1070677000100 has 36 divisors (see below), whose sum is σ = 2343929903364. Its totient is φ = 424480788480.

The previous prime is 1070677000073. The next prime is 1070677000147. The reversal of 1070677000100 is 10007760701.

It can be written as a sum of positive squares in 6 ways, for example, as 262432847524 + 808244152576 = 512282^2 + 899024^2 .

It is a super-2 number, since 2×10706770001002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47363789 + ... + 47386388.

Almost surely, 21070677000100 is an apocalyptic number.

1070677000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070677000100 is an abundant number, since it is smaller than the sum of its proper divisors (1273252903264).

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

1070677000100 is a wasteful number, since it uses less digits than its factorization.

1070677000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94750304 (or 94750297 counting only the distinct ones).

The product of its (nonzero) digits is 2058, while the sum is 29.

The spelling of 1070677000100 in words is "one trillion, seventy billion, six hundred seventy-seven million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 94750177 189500354 379000708 473750885 947501770 1895003540 2368754425 4737508850 9475017700 10706770001 21413540002 42827080004 53533850005 107067700010 214135400020 267669250025 535338500050 1070677000100