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2031313320 = 2332537152501
BaseRepresentation
bin111100100010011…
…0110000110101000
312020120021102000200
41321010312012220
513130004011240
6533322032200
7101223610161
oct17104660650
95216242020
102031313320
11952694843
12488348660
13264abc05a
14153aca768
15bd4ea930
hex791361a8

2031313320 has 96 divisors (see below), whose sum is σ = 6780238920. Its totient is φ = 527040000.

The previous prime is 2031313261. The next prime is 2031313321. The reversal of 2031313320 is 233131302.

2031313320 is a `hidden beast` number, since 2 + 0 + 31 + 313 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1683789156 + 347524164 = 41034^2 + 18642^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 2031313293 and 2031313302.

It is not an unprimeable number, because it can be changed into a prime (2031313321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62931 + ... + 89570.

Almost surely, 22031313320 is an apocalyptic number.

2031313320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2031313320 is an abundant number, since it is smaller than the sum of its proper divisors (4748925600).

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

2031313320 is a wasteful number, since it uses less digits than its factorization.

2031313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152555 (or 152548 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2031313320 is about 45070.0934101539. The cubic root of 2031313320 is about 1266.4624142802.

Adding to 2031313320 its reverse (233131302), we get a palindrome (2264444622).

It can be divided in two parts, 20313 and 13320, that added together give a palindrome (33633).

The spelling of 2031313320 in words is "two billion, thirty-one million, three hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320 152501 305002 457503 610004 762505 915006 1220008 1372509 1525010 1830012 2287515 2745018 3050020 3660024 4575030 5490036 5642537 6100040 6862545 9150060 10980072 11285074 13725090 16927611 18300120 22570148 27450180 28212685 33855222 45140296 50782833 54900360 56425370 67710444 84638055 101565666 112850740 135420888 169276110 203131332 225701480 253914165 338552220 406262664 507828330 677104440 1015656660 2031313320