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100244444340 = 223517797123311
BaseRepresentation
bin101110101011100001…
…0001101010010110100
3100120202012121101211210
41131113002031102310
53120300034204330
6114015054201420
710146102501135
oct1352702152264
9316665541753
10100244444340
1139571414817
12175177b3270
1395b7358471
144bcd6d1c8c
15291a9228b0
hex175708d4b4

100244444340 has 96 divisors (see below), whose sum is σ = 297570599424. Its totient is φ = 25127618560.

The previous prime is 100244444317. The next prime is 100244444341. The reversal of 100244444340 is 43444442001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100244444298 and 100244444307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100244444341) 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, 751285 + ... + 874595.

It is an arithmetic number, because the mean of its divisors is an integer number (3099693744).

Almost surely, 2100244444340 is an apocalyptic number.

100244444340 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 100244444340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148785299712).

100244444340 is an abundant number, since it is smaller than the sum of its proper divisors (197326155084).

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

100244444340 is a wasteful number, since it uses less digits than its factorization.

100244444340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124137 (or 124135 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 100244444340 its reverse (43444442001), we get a palindrome (143688886341).

The spelling of 100244444340 in words is "one hundred billion, two hundred forty-four million, four hundred forty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 797 1020 1594 2391 3188 3985 4782 7970 9564 11955 13549 15940 23910 27098 40647 47820 54196 67745 81294 123311 135490 162588 203235 246622 270980 369933 406470 493244 616555 739866 812940 1233110 1479732 1849665 2096287 2466220 3699330 4192574 6288861 7398660 8385148 10481435 12577722 20962870 25155444 31444305 41925740 62888610 98278867 125777220 196557734 294836601 393115468 491394335 589673202 982788670 1179346404 1474183005 1670740739 1965577340 2948366010 3341481478 5012222217 5896732020 6682962956 8353703695 10024444434 16707407390 20048888868 25061111085 33414814780 50122222170 100244444340