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332131001130 = 234523167106753
BaseRepresentation
bin1001101010101001000…
…11001110001100101010
31011202021210002000010000
410311110203032030222
520420201014014010
6412325012003430
732665341633435
oct4652443161452
91152253060100
10332131001130
11118946322a95
1254452000576
1325420847406
141210a5c681c
15898d4257c0
hex4d548ce32a

332131001130 has 160 divisors (see below), whose sum is σ = 937481174784. Its totient is φ = 84209393664.

The previous prime is 332131001123. The next prime is 332131001161. The reversal of 332131001130 is 31100131233.

It is a happy number.

332131001130 is a `hidden beast` number, since 3 + 321 + 310 + 0 + 1 + 1 + 30 = 666.

It is a super-2 number, since 2×3321310011302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3057834 + ... + 3164586.

Almost surely, 2332131001130 is an apocalyptic number.

332131001130 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 332131001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468740587392).

332131001130 is an abundant number, since it is smaller than the sum of its proper divisors (605350173654).

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

332131001130 is a wasteful number, since it uses less digits than its factorization.

332131001130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106962 (or 106953 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 332131001130 its reverse (31100131233), we get a palindrome (363231132363).

The spelling of 332131001130 in words is "three hundred thirty-two billion, one hundred thirty-one million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 167 207 230 270 334 345 405 414 501 621 690 810 835 1002 1035 1242 1503 1670 1863 2070 2505 3006 3105 3726 3841 4509 5010 6210 7515 7682 9018 9315 11523 13527 15030 18630 19205 22545 23046 27054 34569 38410 45090 57615 67635 69138 103707 106753 115230 135270 172845 207414 213506 311121 320259 345690 518535 533765 622242 640518 960777 1037070 1067530 1555605 1601295 1921554 2455319 2882331 3111210 3202590 4803885 4910638 5764662 7365957 8646993 9607770 12276595 14411655 14731914 17293986 17827751 22097871 24553190 28823310 35655502 36829785 43234965 44195742 53483253 66293613 73659570 86469930 89138755 106966506 110489355 132587226 160449759 178277510 198880839 220978710 267416265 320899518 331468065 397761678 410038273 481349277 534832530 662936130 802248795 820076546 962698554 994404195 1230114819 1444047831 1604497590 1988808390 2050191365 2406746385 2460229638 2888095662 3690344457 4100382730 4813492770 6150574095 7220239155 7380688914 11071033371 12301148190 14440478310 18451722285 22142066742 33213100113 36903444570 55355166855 66426200226 110710333710 166065500565 332131001130