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100421430302440 = 23513214855241169
BaseRepresentation
bin10110110101010100101111…
…101011100101011011101000
3111011120012021010210001121201
4112311110233223211123220
5101130301042124134230
6553324545044413544
730103131441461152
oct2665245753453350
9434505233701551
10100421430302440
1129aa7542473a25
12b31a4199a72b4
13440591458a200
141ab25cd219ad2
15b922d27b25ca
hex5b552fae56e8

100421430302440 has 48 divisors (see below), whose sum is σ = 244665822069900. Its totient is φ = 37078681955328.

The previous prime is 100421430302437. The next prime is 100421430302497. The reversal of 100421430302440 is 44203034124001.

It can be written as a sum of positive squares in 6 ways, for example, as 21447957865636 + 78973472436804 = 4631194^2 + 8886702^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100421430302399 and 100421430302408.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7427613825 + ... + 7427627344.

Almost surely, 2100421430302440 is an apocalyptic number.

100421430302440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100421430302440 is an abundant number, since it is smaller than the sum of its proper divisors (144244391767460).

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

100421430302440 is a wasteful number, since it uses less digits than its factorization.

100421430302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14855241206 (or 14855241189 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 100421430302440 its reverse (44203034124001), we get a palindrome (144624464426441).

The spelling of 100421430302440 in words is "one hundred trillion, four hundred twenty-one billion, four hundred thirty million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 14855241169 29710482338 59420964676 74276205845 118841929352 148552411690 193118135197 297104823380 386236270394 594209646760 772472540788 965590675985 1544945081576 1931181351970 2510535757561 3862362703940 5021071515122 7724725407880 10042143030244 12552678787805 20084286060488 25105357575610 50210715151220 100421430302440