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31033001130 = 23559163107563
BaseRepresentation
bin11100111001101101…
…100000010010101010
32222002202001210112020
4130321231200102222
51002023422014010
622131212525310
72146012104645
oct347155402252
988082053466
1031033001130
111218535807a
126020a80836
132c073b8281
141705706a5c
15c19678470
hex739b604aa

31033001130 has 64 divisors (see below), whose sum is σ = 76206942720. Its totient is φ = 8085220416.

The previous prime is 31033001113. The next prime is 31033001149. The reversal of 31033001130 is 3110033013.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234729 + ... + 342291.

It is an arithmetic number, because the mean of its divisors is an integer number (1190733480).

Almost surely, 231033001130 is an apocalyptic number.

31033001130 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 31033001130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38103471360).

31033001130 is an abundant number, since it is smaller than the sum of its proper divisors (45173941590).

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

31033001130 is a wasteful number, since it uses less digits than its factorization.

31033001130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107795.

The product of its (nonzero) digits is 81, while the sum is 15.

Adding to 31033001130 its reverse (3110033013), we get a palindrome (34143034143).

The spelling of 31033001130 in words is "thirty-one billion, thirty-three million, one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 59 118 163 177 295 326 354 489 590 815 885 978 1630 1770 2445 4890 9617 19234 28851 48085 57702 96170 107563 144255 215126 288510 322689 537815 645378 1075630 1613445 3226890 6346217 12692434 17532769 19038651 31731085 35065538 38077302 52598307 63462170 87663845 95193255 105196614 175327690 190386510 262991535 525983070 1034433371 2068866742 3103300113 5172166855 6206600226 10344333710 15516500565 31033001130