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231120414126 = 23471742128477
BaseRepresentation
bin1101011100111111011…
…0011010010110101110
3211002120011211112010000
43113033312122112232
512241313311223001
6254101504325130
722461244051230
oct3271766322656
9732504745100
10231120414126
118a0214a2a18
12389619137a6
1318a438619c4
14b287260250
15602a617a86
hex35cfd9a5ae

231120414126 has 160 divisors (see below), whose sum is σ = 628190050752. Its totient is φ = 62000225280.

The previous prime is 231120414121. The next prime is 231120414139. The reversal of 231120414126 is 621414021132.

231120414126 is a `hidden beast` number, since 2 + 3 + 1 + 120 + 414 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 231120414126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231120414121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8101800 + ... + 8130276.

Almost surely, 2231120414126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231120414126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314095025376).

231120414126 is an abundant number, since it is smaller than the sum of its proper divisors (397069636626).

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

231120414126 is a wasteful number, since it uses less digits than its factorization.

231120414126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28936 (or 28927 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 231120414126 its reverse (621414021132), we get a palindrome (852534435258).

The spelling of 231120414126 in words is "two hundred thirty-one billion, one hundred twenty million, four hundred fourteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 421 459 567 714 842 918 1071 1134 1263 1377 2142 2526 2754 2947 3213 3789 5894 6426 7157 7578 8841 9639 11367 14314 17682 19278 21471 22734 26523 28477 34101 42942 50099 53046 56954 64413 68202 79569 85431 100198 128826 150297 159138 170862 193239 199339 238707 256293 300594 386478 398678 450891 477414 484109 512586 579717 598017 768879 901782 968218 1159434 1196034 1352673 1452327 1537758 1794051 2306637 2705346 2904654 3388763 3588102 4058019 4356981 4613274 5382153 6777526 8116038 8713962 10166289 10764306 11988817 13070943 16146459 20332578 23977634 26141886 30498867 32292918 35966451 39212829 60997734 71932902 78425658 83921719 91496601 107899353 167843438 182993202 203809889 215798706 251765157 274489803 323698059 407619778 503530314 548979606 611429667 647396118 755295471 971094177 1222859334 1426669223 1510590942 1834289001 1942188354 2265886413 2853338446 3668578002 4280007669 4531772826 5502867003 6797659239 8560015338 11005734006 12840023007 13595318478 16508601009 25680046014 33017202018 38520069021 77040138042 115560207063 231120414126