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31242010230 = 23451511791427
BaseRepresentation
bin11101000110001010…
…110011111001110110
32222122022100120010000
4131012022303321312
51002440423311410
622204040412130
72154130463634
oct350612637166
988568316100
1031242010230
1112282333772
12607aa77046
132c3b7a80b2
141725392354
15c2cbb1dc0
hex7462b3e76

31242010230 has 160 divisors (see below), whose sum is σ = 85094634240. Its totient is φ = 8224027200.

The previous prime is 31242010199. The next prime is 31242010243. The reversal of 31242010230 is 3201024213.

31242010230 is a `hidden beast` number, since 3 + 1 + 2 + 420 + 10 + 230 = 666.

It is a super-2 number, since 2×312420102302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21892777 + ... + 21894203.

It is an arithmetic number, because the mean of its divisors is an integer number (531841464).

Almost surely, 231242010230 is an apocalyptic number.

31242010230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31242010230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42547317120).

31242010230 is an abundant number, since it is smaller than the sum of its proper divisors (53852624010).

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

31242010230 is a wasteful number, since it uses less digits than its factorization.

31242010230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1776 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31242010230 its reverse (3201024213), we get a palindrome (34443034443).

The spelling of 31242010230 in words is "thirty-one billion, two hundred forty-two million, ten thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 151 162 179 270 302 358 405 453 537 755 810 895 906 1074 1359 1427 1510 1611 1790 2265 2685 2718 2854 3222 4077 4281 4530 4833 5370 6795 7135 8055 8154 8562 9666 12231 12843 13590 14270 14499 16110 20385 21405 24165 24462 25686 27029 28998 38529 40770 42810 48330 54058 61155 64215 72495 77058 81087 115587 122310 128430 135145 144990 162174 192645 215477 231174 243261 255433 270290 385290 405435 430954 486522 510866 577935 646431 729783 766299 810870 1077385 1155870 1216305 1277165 1292862 1459566 1532598 1939293 2154770 2189349 2298897 2432610 2554330 3232155 3648915 3831495 3878586 4378698 4597794 5817879 6464310 6896691 7297830 7662990 9696465 10946745 11494485 11635758 13793382 17453637 19392930 20690073 21893490 22988970 29089395 34483455 34907274 38570383 41380146 58178790 68966910 77140766 87268185 103450365 115711149 174536370 192851915 206900730 231422298 347133447 385703830 578555745 694266894 1041400341 1157111490 1735667235 2082800682 3124201023 3471334470 5207001705 6248402046 10414003410 15621005115 31242010230