Search a number
-
+
101031011120 = 24513895110853
BaseRepresentation
bin101111000010111101…
…0101110001100110000
3100122210000200010121202
41132011322232030300
53123402414323440
6114225113110332
710204433265554
oct1360572561460
9318700603552
10101031011120
1139935410006
12176b70b83a8
1396b12b6bb0
144c65d61864
1529649e4615
hex1785eae330

101031011120 has 80 divisors (see below), whose sum is σ = 253017680832. Its totient is φ = 37296153600.

The previous prime is 101031011117. The next prime is 101031011177. The reversal of 101031011120 is 21110130101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1010310111203 (a number of 34 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9303614 + ... + 9314466.

Almost surely, 2101031011120 is an apocalyptic number.

101031011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101031011120 is an abundant number, since it is smaller than the sum of its proper divisors (151986669712).

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

101031011120 is a wasteful number, since it uses less digits than its factorization.

101031011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19830 (or 19824 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101031011120 its reverse (21110130101), we get a palindrome (122141141221).

The spelling of 101031011120 in words is "one hundred one billion, thirty-one million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 8951 10853 17902 21706 35804 43412 44755 54265 71608 86824 89510 108530 116363 141089 143216 173648 179020 217060 232726 282178 358040 434120 465452 564356 581815 705445 716080 868240 930904 1128712 1163630 1410890 1861808 2257424 2327260 2821780 4654520 5643560 9309040 11287120 97145203 194290406 388580812 485726015 777161624 971452030 1262887639 1554323248 1942904060 2525775278 3885808120 5051550556 6314438195 7771616240 10103101112 12628876390 20206202224 25257752780 50515505560 101031011120