Base | Representation |
---|---|
bin | 11101110010010011010010… |
… | …111110000110100111101000 |
3 | 122011211111000011111201112002 |
4 | 131302103102332012213220 |
5 | 114132301041224222100 |
6 | 1142340331041110132 |
7 | 36410304106513634 |
oct | 3562232276064750 |
9 | 564744004451462 |
10 | 131000042023400 |
11 | 38816895615a00 |
12 | 12838829028348 |
13 | 5813335475534 |
14 | 244c616023dc4 |
15 | 10229298612d5 |
hex | 7724d2f869e8 |
131000042023400 has 288 divisors, whose sum is σ = 335948966640000. Its totient is φ = 47470348147200.
The previous prime is 131000042023381. The next prime is 131000042023439. The reversal of 131000042023400 is 4320240000131.
It is a super-2 number, since 2×1310000420234002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17220982397 + ... + 17220990003.
It is an arithmetic number, because the mean of its divisors is an integer number (1166489467500).
Almost surely, 2131000042023400 is an apocalyptic number.
131000042023400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 131000042023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167974483320000).
131000042023400 is an abundant number, since it is smaller than the sum of its proper divisors (204948924616600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
131000042023400 is a wasteful number, since it uses less digits than its factorization.
131000042023400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10033 (or 10013 counting only the distinct ones).
The product of its (nonzero) digits is 576, while the sum is 20.
Adding to 131000042023400 its reverse (4320240000131), we get a palindrome (135320282023531).
The spelling of 131000042023400 in words is "one hundred thirty-one trillion, forty-two million, twenty-three thousand, four hundred".
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