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233230103130 = 235711071795717
BaseRepresentation
bin1101100100110110011…
…0001111001001011010
3211022000012120211100210
43121031212033021122
512310123401300010
6255051110311550
722564442111103
oct3311546171132
9738005524323
10233230103130
118aa04349552
12392503585b6
1318cbb9629ab
14b40750d3aa
156100945b20
hex364d98f25a

233230103130 has 128 divisors (see below), whose sum is σ = 576242657280. Its totient is φ = 60395713280.

The previous prime is 233230103107. The next prime is 233230103143. The reversal of 233230103130 is 31301032332.

It is a junction number, because it is equal to n+sod(n) for n = 233230103097 and 233230103106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40793032 + ... + 40798748.

It is an arithmetic number, because the mean of its divisors is an integer number (4501895760).

Almost surely, 2233230103130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233230103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288121328640).

233230103130 is an abundant number, since it is smaller than the sum of its proper divisors (343012554150).

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

233230103130 is a wasteful number, since it uses less digits than its factorization.

233230103130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6084.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 233230103130 its reverse (31301032332), we get a palindrome (264531135462).

The spelling of 233230103130 in words is "two hundred thirty-three billion, two hundred thirty million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 107 142 179 213 214 321 355 358 426 535 537 642 710 895 1065 1070 1074 1605 1790 2130 2685 3210 5370 5717 7597 11434 12709 15194 17151 19153 22791 25418 28585 34302 37985 38127 38306 45582 57170 57459 63545 75970 76254 85755 95765 113955 114918 127090 171510 190635 191530 227910 287295 381270 405907 574590 611719 811814 1023343 1217721 1223438 1359863 1835157 2029535 2046686 2435442 2719726 3058595 3070029 3670314 4059070 4079589 5116715 6088605 6117190 6140058 6799315 8159178 9175785 10233430 12177210 13598630 15350145 18351570 20397945 30700290 40795890 43432049 72657353 86864098 109497701 130296147 145314706 217160245 217972059 218995402 260592294 328493103 363286765 434320490 435944118 547488505 651480735 656986206 726573530 1089860295 1094977010 1302961470 1642465515 2179720590 3284931030 7774336771 15548673542 23323010313 38871683855 46646020626 77743367710 116615051565 233230103130