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100303688044 = 227194320292161
BaseRepresentation
bin101110101101010010…
…0001101000101101100
3100120220100002021221001
41131122210031011230
53120410221004134
6114025012050044
710150422165250
oct1353244150554
9316810067831
10100303688044
11395a18a945a
1217533603924
1395c66cc101
144bd7514260
152920c26414
hex175a90d16c

100303688044 has 96 divisors (see below), whose sum is σ = 216283020800. Its totient is φ = 39739714560.

The previous prime is 100303688033. The next prime is 100303688047. The reversal of 100303688044 is 440886303001.

It is a junction number, because it is equal to n+sod(n) for n = 100303687994 and 100303688012.

It is not an unprimeable number, because it can be changed into a prime (100303688047) 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, 46414324 + ... + 46416484.

Almost surely, 2100303688044 is an apocalyptic number.

100303688044 is a gapful number since it is divisible by the number (14) 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 100303688044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108141510400).

100303688044 is an abundant number, since it is smaller than the sum of its proper divisors (115979332756).

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

100303688044 is a wasteful number, since it uses less digits than its factorization.

100303688044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4263 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 100303688044 in words is "one hundred billion, three hundred three million, six hundred eighty-eight thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 2029 2161 3268 4058 4322 5719 8116 8644 11438 14203 15127 22876 28406 30254 38551 41059 56812 60508 77102 82118 87247 92923 154204 164236 174494 185846 269857 287413 348988 371692 539714 574826 610729 650461 1079428 1149652 1221458 1300922 1657693 1765537 2442916 2601844 3315386 3531074 4384669 6630772 7062148 8769338 11603851 12358759 17538676 23207702 24717518 30692683 46415404 49435036 61385366 83308711 122770732 166617422 188540767 333234844 377081534 583160977 754163068 1166321954 1319785369 2332643908 2639570738 3582274573 5279141476 7164549146 14329098292 25075922011 50151844022 100303688044