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100889789260 = 225137921123279
BaseRepresentation
bin101110111110110000…
…0000000001101001100
3100122102011221022122111
41131331200000031030
53123110241224020
6114203110153404
710201100026201
oct1357540001514
9318364838574
10100889789260
1139872723a27
1217677952864
13968ac6c670
144c512bdca8
1529573ead5a
hex177d80034c

100889789260 has 96 divisors (see below), whose sum is σ = 232159334400. Its totient is φ = 36604189440.

The previous prime is 100889789249. The next prime is 100889789263. The reversal of 100889789260 is 62987988001.

It is a super-2 number, since 2×1008897892602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100889789195 and 100889789204.

It is not an unprimeable number, because it can be changed into a prime (100889789263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4322301 + ... + 4345579.

It is an arithmetic number, because the mean of its divisors is an integer number (2418326400).

Almost surely, 2100889789260 is an apocalyptic number.

100889789260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100889789260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116079667200).

100889789260 is an abundant number, since it is smaller than the sum of its proper divisors (131269545140).

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

100889789260 is a wasteful number, since it uses less digits than its factorization.

100889789260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23591 (or 23589 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 58.

The spelling of 100889789260 in words is "one hundred billion, eight hundred eighty-nine million, seven hundred eighty-nine thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 79 130 158 211 260 316 395 422 790 844 1027 1055 1580 2054 2110 2743 4108 4220 5135 5486 10270 10972 13715 16669 20540 23279 27430 33338 46558 54860 66676 83345 93116 116395 166690 216697 232790 302627 333380 433394 465580 605254 866788 1083485 1210508 1513135 1839041 2166970 3026270 3678082 4333940 4911869 6052540 7356164 9195205 9823738 18390410 19647476 23907533 24559345 36780820 47815066 49118690 63854297 95630132 98237380 119537665 127708594 239075330 255417188 319271485 388037651 478150660 638542970 776075302 1277085940 1552150604 1940188255 3880376510 5044489463 7760753020 10088978926 20177957852 25222447315 50444894630 100889789260