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130423442370 = 235134161913177
BaseRepresentation
bin111100101110111010…
…1111100101111000010
3110110122102201100100120
41321131311330233002
54114101400123440
6135525443001110
712265004653134
oct1713565745702
9413572640316
10130423442370
11503486a6701
122133a669196
13c3b6833350
146453813054
1535d5107dd0
hex1e5dd7cbc2

130423442370 has 128 divisors (see below), whose sum is σ = 345900360960. Its totient is φ = 31268229120.

The previous prime is 130423442363. The next prime is 130423442371. The reversal of 130423442370 is 73244324031.

It is a happy number.

130423442370 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1304234423702 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (130423442371) by changing a digit.

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, 9891222 + ... + 9904398.

It is an arithmetic number, because the mean of its divisors is an integer number (2702346570).

Almost surely, 2130423442370 is an apocalyptic number.

130423442370 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 130423442370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172950180480).

130423442370 is an abundant number, since it is smaller than the sum of its proper divisors (215476918590).

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

130423442370 is a wasteful number, since it uses less digits than its factorization.

130423442370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13860.

The product of its (nonzero) digits is 48384, while the sum is 33.

The spelling of 130423442370 in words is "one hundred thirty billion, four hundred twenty-three million, four hundred forty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 41 65 78 82 123 130 195 205 246 390 410 533 615 619 1066 1230 1238 1599 1857 2665 3095 3198 3714 5330 6190 7995 8047 9285 13177 15990 16094 18570 24141 25379 26354 39531 40235 48282 50758 65885 76137 79062 80470 120705 126895 131770 152274 171301 197655 241410 253790 329927 342602 380685 395310 513903 540257 659854 761370 856505 989781 1027806 1080514 1620771 1649635 1713010 1979562 2569515 2701285 3241542 3299270 4948905 5139030 5402570 7023341 8103855 8156563 9897810 14046682 16207710 16313126 21070023 24469689 35116705 40782815 42140046 48939378 70233410 81565630 105350115 106035319 122348445 210700230 212070638 244696890 318105957 334419083 530176595 636211914 668838166 1003257249 1060353190 1590529785 1672095415 2006514498 3181059570 3344190830 4347448079 5016286245 8694896158 10032572490 13042344237 21737240395 26084688474 43474480790 65211721185 130423442370