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1031313120 = 25352937333
BaseRepresentation
bin111101011110001…
…001011011100000
32122212121010122020
4331132021123200
54103004004440
6250200341440
734362005535
oct7536113340
92585533566
101031313120
1148a1708a2
12249474880
13135881a66
149ad7cd8c
15608193d0
hex3d7896e0

1031313120 has 96 divisors (see below), whose sum is σ = 3260168352. Its totient is φ = 274040832.

The previous prime is 1031313119. The next prime is 1031313131. The reversal of 1031313120 is 213131301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1031313120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136974 + ... + 144306.

It is an arithmetic number, because the mean of its divisors is an integer number (33960087).

Almost surely, 21031313120 is an apocalyptic number.

1031313120 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 1031313120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630084176).

1031313120 is an abundant number, since it is smaller than the sum of its proper divisors (2228855232).

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

1031313120 is a wasteful number, since it uses less digits than its factorization.

1031313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7644 (or 7636 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 1031313120 is about 32114.0642086921. The cubic root of 1031313120 is about 1010.3306175084.

Adding to 1031313120 its reverse (213131301), we get a palindrome (1244444421).

The spelling of 1031313120 in words is "one billion, thirty-one million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 293 480 586 879 1172 1465 1758 2344 2930 3516 4395 4688 5860 7032 7333 8790 9376 11720 14064 14666 17580 21999 23440 28128 29332 35160 36665 43998 46880 58664 70320 73330 87996 109995 117328 140640 146660 175992 219990 234656 293320 351984 439980 586640 703968 879960 1173280 1759920 2148569 3519840 4297138 6445707 8594276 10742845 12891414 17188552 21485690 25782828 32228535 34377104 42971380 51565656 64457070 68754208 85942760 103131312 128914140 171885520 206262624 257828280 343771040 515656560 1031313120