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32231313030 = 23571719147269
BaseRepresentation
bin11110000001001000…
…101100111010000110
310002012020220100102110
4132001020230322012
51012002204004110
622450140521450
72220502432440
oct360110547206
9102166810373
1032231313030
111273a810594
1262b6250286
13306873b277
1417ba917490
15c8997da20
hex78122ce86

32231313030 has 128 divisors (see below), whose sum is σ = 94098309120. Its totient is φ = 6897346560.

The previous prime is 32231313029. The next prime is 32231313031. The reversal of 32231313030 is 3031313223.

It is an interprime number because it is at equal distance from previous prime (32231313029) and next prime (32231313031).

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 = 32231312988 and 32231313006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32231313031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658236 + ... + 705504.

It is an arithmetic number, because the mean of its divisors is an integer number (735143040).

Almost surely, 232231313030 is an apocalyptic number.

32231313030 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 32231313030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47049154560).

32231313030 is an abundant number, since it is smaller than the sum of its proper divisors (61866996090).

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

32231313030 is a wasteful number, since it uses less digits than its factorization.

32231313030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47494.

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

Adding to 32231313030 its reverse (3031313223), we get a palindrome (35262626253).

It can be divided in two parts, 3223 and 1313030, that added together give a triangular number (1316253 = T1622).

The spelling of 32231313030 in words is "thirty-two billion, two hundred thirty-one million, three hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 191 210 238 255 357 382 510 573 595 714 955 1146 1190 1337 1785 1910 2674 2865 3247 3570 4011 5730 6494 6685 8022 9741 13370 16235 19482 20055 22729 32470 40110 45458 47269 48705 68187 94538 97410 113645 136374 141807 227290 236345 283614 330883 340935 472690 661766 681870 709035 803573 992649 1418070 1607146 1654415 1985298 2410719 3308830 4017865 4821438 4963245 5625011 8035730 9028379 9926490 11250022 12053595 16875033 18056758 24107190 27085137 28125055 33750066 45141895 54170274 56250110 63198653 84375165 90283790 126397306 135425685 153482443 168750330 189595959 270851370 306964886 315993265 379191918 460447329 631986530 767412215 920894658 947979795 1074377101 1534824430 1895959590 2148754202 2302236645 3223131303 4604473290 5371885505 6446262606 10743771010 16115656515 32231313030