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2112010032 = 243118348193
BaseRepresentation
bin111110111100010…
…1011011100110000
312110012010020002210
41331320223130300
513311133310112
6545323412120
7103223534436
oct17570533460
95405106083
102112010032
119941a1440
124ab384040
132787345a2
141606d4d56
15c563ab3c
hex7de2b730

2112010032 has 80 divisors (see below), whose sum is σ = 6023864448. Its totient is φ = 632279040.

The previous prime is 2112010027. The next prime is 2112010073. The reversal of 2112010032 is 2300102112.

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

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, 19728 + ... + 67920.

Almost surely, 22112010032 is an apocalyptic number.

2112010032 is a gapful number since it is divisible by the number (22) 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 2112010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011932224).

2112010032 is an abundant number, since it is smaller than the sum of its proper divisors (3911854416).

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

2112010032 is a wasteful number, since it uses less digits than its factorization.

2112010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48298 (or 48292 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2112010032 is about 45956.6103188649. The cubic root of 2112010032 is about 1283.0157634335.

Adding to 2112010032 its reverse (2300102112), we get a palindrome (4412112144).

The spelling of 2112010032 in words is "two billion, one hundred twelve million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 249 264 332 498 528 664 913 996 1328 1826 1992 2739 3652 3984 5478 7304 10956 14608 21912 43824 48193 96386 144579 192772 289158 385544 530123 578316 771088 1060246 1156632 1590369 2120492 2313264 3180738 4000019 4240984 6361476 8000038 8481968 12000057 12722952 16000076 24000114 25445904 32000152 44000209 48000228 64000304 88000418 96000456 132000627 176000836 192000912 264001254 352001672 528002508 704003344 1056005016 2112010032