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2101851312 = 243113167197
BaseRepresentation
bin111110101000111…
…1011010010110000
312102111000002221220
41331101323102300
513301033220222
6544321545040
7103041304251
oct17521732260
95374002856
102101851312
11989493000
124a7aa5180
132765b8702
1415d20cb28
15c47d0b5c
hex7d47b4b0

2101851312 has 160 divisors (see below), whose sum is σ = 6038613504. Its totient is φ = 629896960.

The previous prime is 2101851289. The next prime is 2101851313. The reversal of 2101851312 is 2131581012.

It is a super-2 number, since 2×21018513122 = 8835557875512242688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2101851313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10669198 + ... + 10669394.

Almost surely, 22101851312 is an apocalyptic number.

2101851312 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 2101851312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019306752).

2101851312 is an abundant number, since it is smaller than the sum of its proper divisors (3936762192).

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

2101851312 is a wasteful number, since it uses less digits than its factorization.

2101851312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 2101851312 is about 45845.9519696123. The cubic root of 2101851312 is about 1280.9553642334.

The spelling of 2101851312 in words is "two billion, one hundred one million, eight hundred fifty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 167 176 197 242 264 334 363 394 484 501 528 591 668 726 788 968 1002 1182 1331 1336 1452 1576 1837 1936 2004 2167 2364 2662 2672 2904 3152 3674 3993 4008 4334 4728 5324 5511 5808 6501 7348 7986 8016 8668 9456 10648 11022 13002 14696 15972 17336 20207 21296 22044 23837 26004 29392 31944 32899 34672 40414 44088 47674 52008 60621 63888 65798 71511 80828 88176 95348 98697 104016 121242 131596 143022 161656 190696 197394 222277 242484 262207 263192 286044 323312 361889 381392 394788 444554 484968 524414 526384 572088 666831 723778 786621 789576 889108 969936 1048828 1085667 1144176 1333662 1447556 1573242 1579152 1778216 2097656 2171334 2667324 2895112 3146484 3556432 3980779 4195312 4342668 5334648 5790224 6292968 7961558 8685336 10669296 11942337 12585936 15923116 17370672 23884674 31846232 43788569 47769348 63692464 87577138 95538696 131365707 175154276 191077392 262731414 350308552 525462828 700617104 1050925656 2101851312