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2012010192 = 24342367499
BaseRepresentation
bin111011111101100…
…1101011011010000
312012012221201010000
41313323031123100
513110033311232
6531352210000
7100600542633
oct16773153320
95165851100
102012010192
11942800045
12481999900
13260ac0b9a
14151303c1a
15bb98627c
hex77ecd6d0

2012010192 has 100 divisors (see below), whose sum is σ = 6076620000. Its totient is φ = 641500992.

The previous prime is 2012010173. The next prime is 2012010211. The reversal of 2012010192 is 2910102102.

It is an interprime number because it is at equal distance from previous prime (2012010173) and next prime (2012010211).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3942 + ... + 63557.

It is an arithmetic number, because the mean of its divisors is an integer number (60766200).

Almost surely, 22012010192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012010192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038310000).

2012010192 is an abundant number, since it is smaller than the sum of its proper divisors (4064609808).

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

2012010192 is a wasteful number, since it uses less digits than its factorization.

2012010192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67542 (or 67527 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 2012010192 is about 44855.4365935725. The cubic root of 2012010192 is about 1262.4380007066.

Adding to 2012010192 its reverse (2910102102), we get a palindrome (4922112294).

The spelling of 2012010192 in words is "two billion, twelve million, ten thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 67499 134998 202497 269996 404994 539992 607491 809988 1079984 1214982 1552477 1619976 1822473 2429964 3104954 3239952 3644946 4657431 4859928 5467419 6209908 7289892 9314862 9719856 10934838 12419816 13972293 14579784 18629724 21869676 24839632 27944586 29159568 37259448 41916879 43739352 55889172 74518896 83833758 87478704 111778344 125750637 167667516 223556688 251501274 335335032 503002548 670670064 1006005096 2012010192