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100120131430 = 251161101241613
BaseRepresentation
bin101110100111110011…
…1111111011101100110
3100120102112200122120221
41131033213333131212
53120021223201210
6113554453514554
710143033034624
oct1351747773546
9316375618527
10100120131430
1139508227680
12174a2042a5a
139597681427
144bbadb2514
15290ea691da
hex174f9ff766

100120131430 has 128 divisors (see below), whose sum is σ = 202968830592. Its totient is φ = 35251200000.

The previous prime is 100120131379. The next prime is 100120131431. The reversal of 100120131430 is 34131021001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120131431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163327804 + ... + 163328416.

It is an arithmetic number, because the mean of its divisors is an integer number (1585693989).

Almost surely, 2100120131430 is an apocalyptic number.

100120131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120131430 is an abundant number, since it is smaller than the sum of its proper divisors (102848699162).

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

100120131430 is a wasteful number, since it uses less digits than its factorization.

100120131430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100120131430 its reverse (34131021001), we get a palindrome (134251152431).

The spelling of 100120131430 in words is "one hundred billion, one hundred twenty million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 55 61 101 110 122 202 241 305 482 505 610 613 671 1010 1111 1205 1226 1342 2222 2410 2651 3065 3355 5302 5555 6130 6161 6710 6743 11110 12322 13255 13486 14701 24341 26510 29402 30805 33715 37393 48682 61610 61913 67430 67771 73505 74786 121705 123826 135542 147010 147733 161711 186965 243410 267751 295466 309565 323422 338855 373930 411323 535502 619130 677710 681043 738665 808555 822646 1338755 1362086 1477330 1484801 1617110 1625063 2056615 2677510 2969602 3250126 3405215 3776693 4113230 6810430 7424005 7553386 8125315 9011713 14848010 14921033 16250630 16332811 18023426 18883465 29842066 32665622 37766930 41543623 45058565 74605165 81664055 83087246 90117130 99128843 149210330 163328110 164131363 198257686 207718115 328262726 415436230 495644215 820656815 910183013 991288430 1641313630 1820366026 4550915065 9101830130 10012013143 20024026286 50060065715 100120131430