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131010233208 = 233192314538597
BaseRepresentation
bin111101000000011010…
…0011000001101111000
3110112011022212102001120
41322000310120031320
54121302104430313
6140104003545240
712315361415451
oct1720064301570
9415138772046
10131010233208
1150619952308
122148308b220
13c47b28576a
1464ab71c128
15361b8b6d23
hex1e80d18378

131010233208 has 128 divisors (see below), whose sum is σ = 360042969600. Its totient is φ = 39541049856.

The previous prime is 131010233203. The next prime is 131010233239. The reversal of 131010233208 is 802332010131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131010233203) 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, 15234766 + ... + 15243362.

It is an arithmetic number, because the mean of its divisors is an integer number (2812835700).

Almost surely, 2131010233208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131010233208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180021484800).

131010233208 is an abundant number, since it is smaller than the sum of its proper divisors (229032736392).

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

131010233208 is a wasteful number, since it uses less digits than its factorization.

131010233208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10101 (or 10097 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131010233208 its reverse (802332010131), we get a palindrome (933342243339).

The spelling of 131010233208 in words is "one hundred thirty-one billion, ten million, two hundred thirty-three thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1453 1748 2622 2906 3496 4359 5244 5812 8597 8718 10488 11624 17194 17436 25791 27607 33419 34388 34872 51582 55214 66838 68776 82821 100257 103164 110428 133676 163343 165642 197731 200514 206328 220856 267352 326686 331284 395462 401028 490029 593193 634961 653372 662568 790924 802056 980058 1186386 1269922 1306744 1581848 1904883 1960116 2372772 2539844 3756889 3809766 3920232 4745544 5079688 7513778 7619532 11270667 12491441 15027556 15239064 22541334 24982882 30055112 37474323 45082668 49965764 74948646 90165336 99931528 149897292 237337379 287303143 299794584 474674758 574606286 712012137 861909429 949349516 1149212572 1424024274 1723818858 1898699032 2298425144 2848048548 3447637716 5458759717 5696097096 6895275432 10917519434 16376279151 21835038868 32752558302 43670077736 65505116604 131010233208