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101233213230 = 23537233509769
BaseRepresentation
bin101111001000111111…
…0000011111100101110
3100200022010011001202210
41132101332003330232
53124311200310410
6114301135031250
710212440054232
oct1362176037456
9320263131683
10101233213230
1139a29567496
121775296b526
139714162606
144c84b585c2
152977636220
hex1791f83f2e

101233213230 has 128 divisors (see below), whose sum is σ = 251415964800. Its totient is φ = 26067861504.

The previous prime is 101233213223. The next prime is 101233213243. The reversal of 101233213230 is 32312332101.

It is a junction number, because it is equal to n+sod(n) for n = 101233213197 and 101233213206.

It is a congruent number.

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, 131642286 + ... + 131643054.

It is an arithmetic number, because the mean of its divisors is an integer number (1964187225).

Almost surely, 2101233213230 is an apocalyptic number.

101233213230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101233213230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125707982400).

101233213230 is an abundant number, since it is smaller than the sum of its proper divisors (150182751570).

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

101233213230 is a wasteful number, since it uses less digits than its factorization.

101233213230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 101233213230 its reverse (32312332101), we get a palindrome (133545545331).

The spelling of 101233213230 in words is "one hundred one billion, two hundred thirty-three million, two hundred thirteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 233 370 466 509 555 699 769 1018 1110 1165 1398 1527 1538 2307 2330 2545 3054 3495 3845 4614 5090 6990 7635 7690 8621 11535 15270 17242 18833 23070 25863 28453 37666 43105 51726 56499 56906 85359 86210 94165 112998 118597 129315 142265 170718 179177 188330 237194 258630 282495 284530 355791 358354 391421 426795 537531 564990 592985 711582 782842 853590 895885 1075062 1174263 1185970 1778955 1791770 1957105 2348526 2687655 3557910 3914210 4388089 5375310 5871315 6629549 8776178 11742630 13164267 13259098 14482577 19888647 21940445 26328534 28965154 33147745 39777294 43447731 43880890 65821335 66295490 72412885 86895462 91201093 99443235 131642670 144825770 182402186 198886470 217238655 273603279 434477310 456005465 547206558 912010930 1368016395 2736032790 3374440441 6748880882 10123321323 16872202205 20246642646 33744404410 50616606615 101233213230