Search a number
-
+
332230131030 = 235719591411283
BaseRepresentation
bin1001101010110100111…
…01010111110101010110
31011202112200121022202210
410311122131113311112
520420401403143110
6412342512414250
733000654343050
oct4653235276526
91152480538683
10332230131030
1111899727a826
125447b247386
1325438244b65
141211982c8d0
158996ea7520
hex4d5a757d56

332230131030 has 128 divisors (see below), whose sum is σ = 975479500800. Its totient is φ = 70722163584.

The previous prime is 332230131019. The next prime is 332230131041. The reversal of 332230131030 is 30131032233.

It is an interprime number because it is at equal distance from previous prime (332230131019) and next prime (332230131041).

It is a super-2 number, since 2×3322301310302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 332230130988 and 332230131006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470232 + ... + 941051.

It is an arithmetic number, because the mean of its divisors is an integer number (7620933600).

Almost surely, 2332230131030 is an apocalyptic number.

332230131030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

332230131030 is an abundant number, since it is smaller than the sum of its proper divisors (643249369770).

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

332230131030 is a wasteful number, since it uses less digits than its factorization.

332230131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411378.

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

Adding to 332230131030 its reverse (30131032233), we get a palindrome (362361163263).

The spelling of 332230131030 in words is "three hundred thirty-two billion, two hundred thirty million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 59 70 95 105 114 118 133 177 190 210 266 285 295 354 399 413 570 590 665 798 826 885 1121 1239 1330 1770 1995 2065 2242 2478 3363 3990 4130 5605 6195 6726 7847 11210 12390 15694 16815 23541 33630 39235 47082 78470 117705 235410 1411283 2822566 4233849 7056415 8467698 9878981 14112830 19757962 21169245 26814377 29636943 42338490 49394905 53628754 59273886 80443131 83265697 98789810 134071885 148184715 160886262 166531394 187700639 249797091 268143770 296369430 375401278 402215655 416328485 499594182 563101917 582859879 804431310 832656970 938503195 1126203834 1165719758 1248985455 1582048243 1748579637 1877006390 2497970910 2815509585 2914299395 3164096486 3497159274 4746144729 5631019170 5828598790 7910241215 8742898185 9492289458 11074337701 15820482430 17485796370 22148675402 23730723645 33223013103 47461447290 55371688505 66446026206 110743377010 166115065515 332230131030