Search a number
-
+
1011032000100 = 2232522294905541
BaseRepresentation
bin11101011011001100011…
…01000000011001100100
310120122122120002002121100
432231212031000121210
5113031043143000400
62052243420320100
7133021213130433
oct16554615003144
93518576062540
101011032000100
1135a85a22a951
12143b406a3030
1374455a18655
1436d1168711a
151b475027100
hexeb66340664

1011032000100 has 108 divisors (see below), whose sum is σ = 3182862815860. Its totient is φ = 268431148800.

The previous prime is 1011032000039. The next prime is 1011032000113. The reversal of 1011032000100 is 10002301101.

It can be written as a sum of positive squares in 6 ways, for example, as 59974050816 + 951057949284 = 244896^2 + 975222^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2246671 + ... + 2658870.

Almost surely, 21011032000100 is an apocalyptic number.

1011032000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011032000100 is an abundant number, since it is smaller than the sum of its proper divisors (2171830815760).

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

1011032000100 is a wasteful number, since it uses less digits than its factorization.

1011032000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905790 (or 4905780 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1011032000100 its reverse (10002301101), we get a palindrome (1021034301201).

The spelling of 1011032000100 in words is "one trillion, eleven billion, thirty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 229 300 450 458 687 900 916 1145 1374 2061 2290 2748 3435 4122 4580 5725 6870 8244 10305 11450 13740 17175 20610 22900 34350 41220 51525 68700 103050 206100 4905541 9811082 14716623 19622164 24527705 29433246 44149869 49055410 58866492 73583115 88299738 98110820 122638525 147166230 176599476 220749345 245277050 294332460 367915575 441498690 490554100 735831150 882997380 1103746725 1123368889 1471662300 2207493450 2246737778 3370106667 4414986900 4493475556 5616844445 6740213334 10110320001 11233688890 13480426668 16850533335 20220640002 22467377780 28084222225 33701066670 40441280004 50551600005 56168444450 67402133340 84252666675 101103200010 112336888900 168505333350 202206400020 252758000025 337010666700 505516000050 1011032000100