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100320021040 = 2453737390863
BaseRepresentation
bin101110101101110001…
…0100000101000110000
3100120221110211002120211
41131123202200220300
53120423411133130
6114030354113504
710151011052311
oct1353342405060
9316843732524
10100320021040
11396000446a8
1217538b7b894
1395c9bca3c5
144bd9766608
1529223a0a2a
hex175b8a0a30

100320021040 has 80 divisors (see below), whose sum is σ = 240192805248. Its totient is φ = 38938364928.

The previous prime is 100320021029. The next prime is 100320021047. The reversal of 100320021040 is 40120023001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100320021040.

It is not an unprimeable number, because it can be changed into a prime (100320021047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1058649 + ... + 1149511.

Almost surely, 2100320021040 is an apocalyptic number.

100320021040 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 100320021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120096402624).

100320021040 is an abundant number, since it is smaller than the sum of its proper divisors (139872784208).

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

100320021040 is a wasteful number, since it uses less digits than its factorization.

100320021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91286 (or 91280 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100320021040 its reverse (40120023001), we get a palindrome (140440044041).

The spelling of 100320021040 in words is "one hundred billion, three hundred twenty million, twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 373 592 740 746 1480 1492 1865 2960 2984 3730 5968 7460 13801 14920 27602 29840 55204 69005 90863 110408 138010 181726 220816 276020 363452 454315 552040 726904 908630 1104080 1453808 1817260 3361931 3634520 6723862 7269040 13447724 16809655 26895448 33619310 33891899 53790896 67238620 67783798 134477240 135567596 169459495 268954480 271135192 338918990 542270384 677837980 1254000263 1355675960 2508000526 2711351920 5016001052 6270001315 10032002104 12540002630 20064004208 25080005260 50160010520 100320021040