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31011143020 = 2251113101107357
BaseRepresentation
bin11100111000011010…
…000111110101101100
32222001012221021211121
4130320122013311230
51002002323034040
622125112230324
72145325236454
oct347032076554
988035837747
1031011143020
1112173a88820
12601569b3a4
132c02a04190
141702856d64
15c177abc4a
hex738687d6c

31011143020 has 96 divisors (see below), whose sum is σ = 77266840896. Its totient is φ = 10306176000.

The previous prime is 31011142957. The next prime is 31011143021. The reversal of 31011143020 is 2034111013.

It is a junction number, because it is equal to n+sod(n) for n = 31011142985 and 31011143003.

It is not an unprimeable number, because it can be changed into a prime (31011143021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 235182 + ... + 342538.

It is an arithmetic number, because the mean of its divisors is an integer number (804862926).

Almost surely, 231011143020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31011143020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38633420448).

31011143020 is an abundant number, since it is smaller than the sum of its proper divisors (46255697876).

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

31011143020 is a wasteful number, since it uses less digits than its factorization.

31011143020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107491 (or 107489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 31011143020 its reverse (2034111013), we get a palindrome (33045254033).

The spelling of 31011143020 in words is "thirty-one billion, eleven million, one hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 101 110 130 143 202 220 260 286 404 505 572 715 1010 1111 1313 1430 2020 2222 2626 2860 4444 5252 5555 6565 11110 13130 14443 22220 26260 28886 57772 72215 107357 144430 214714 288860 429428 536785 1073570 1180927 1395641 2147140 2361854 2791282 4723708 5582564 5904635 6978205 10843057 11809270 13956410 15352051 21686114 23618540 27912820 30704102 43372228 54215285 61408204 76760255 108430570 119273627 140959741 153520510 216861140 238547254 281919482 307041020 477094508 563838964 596368135 704798705 1192736270 1409597410 1550557151 2385472540 2819194820 3101114302 6202228604 7752785755 15505571510 31011143020