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2111011320 = 2335113743223
BaseRepresentation
bin111110111010011…
…0111100111111000
312110010020111010110
41331310313213320
513310404330240
6545250144320
7103212204645
oct17564674770
95403214113
102111011320
1199367a060
124aab820a0
13278474b32
14160514dcc
15c54dec80
hex7dd379f8

2111011320 has 128 divisors (see below), whose sum is σ = 7095651840. Its totient is φ = 497917440.

The previous prime is 2111011319. The next prime is 2111011337. The reversal of 2111011320 is 231101112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2111011296 and 2111011305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27229 + ... + 70451.

It is an arithmetic number, because the mean of its divisors is an integer number (55434780).

Almost surely, 22111011320 is an apocalyptic number.

2111011320 is a gapful number since it is divisible by the number (20) 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 2111011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547825920).

2111011320 is an abundant number, since it is smaller than the sum of its proper divisors (4984640520).

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

2111011320 is a wasteful number, since it uses less digits than its factorization.

2111011320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43285 (or 43281 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 2111011320 is about 45945.7432195846. The cubic root of 2111011320 is about 1282.8134971490.

Adding to 2111011320 its reverse (231101112), we get a palindrome (2342112432).

The spelling of 2111011320 in words is "two billion, one hundred eleven million, eleven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 43223 48840 86446 129669 172892 216115 259338 345784 432230 475453 518676 648345 864460 950906 1037352 1296690 1426359 1599251 1728920 1901812 2377265 2593380 2852718 3198502 3803624 4754530 4797753 5186760 5705436 6397004 7131795 7996255 9509060 9595506 11410872 12794008 14263590 15992510 17591761 19018120 19191012 23988765 28527180 31985020 35183522 38382024 47977530 52775283 57054360 63970040 70367044 87958805 95955060 105550566 140734088 175917610 191910120 211101132 263876415 351835220 422202264 527752830 703670440 1055505660 2111011320