Search a number
-
+
211143212412 = 2231129419131641
BaseRepresentation
bin1100010010100100011…
…1011011110101111100
3202011222221012112020020
43010221013123311330
511424410130244122
6240555311452140
721153216456516
oct3045107336574
9664887175206
10211143212412
11815aa925660
1234b07527050
1316babb0a0a2
14a30ddd0bb6
15575b8a1c5c
hex31291dbd7c

211143212412 has 96 divisors (see below), whose sum is σ = 557319571200. Its totient is φ = 61628582400.

The previous prime is 211143212411. The next prime is 211143212431. The reversal of 211143212412 is 214212341112.

It is a super-2 number, since 2×2111432124122 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211143212411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1538112 + ... + 1669752.

It is an arithmetic number, because the mean of its divisors is an integer number (5805412200).

Almost surely, 2211143212412 is an apocalyptic number.

211143212412 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 211143212412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278659785600).

211143212412 is an abundant number, since it is smaller than the sum of its proper divisors (346176358788).

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

211143212412 is a wasteful number, since it uses less digits than its factorization.

211143212412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132107 (or 132105 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 211143212412 its reverse (214212341112), we get a palindrome (425355553524).

The spelling of 211143212412 in words is "two hundred eleven billion, one hundred forty-three million, two hundred twelve thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 419 638 838 957 1257 1276 1676 1914 2514 3828 4609 5028 9218 12151 13827 18436 24302 27654 36453 48604 55308 72906 131641 133661 145812 263282 267322 394923 400983 526564 534644 789846 801966 1448051 1579692 1603932 2896102 3817589 4344153 5792204 7635178 8688306 11452767 15270356 17376612 22905534 41993479 45811068 55157579 83986958 110315158 125980437 165472737 167973916 220630316 251960874 330945474 503921748 606733369 661890948 1213466738 1599569791 1820200107 2426933476 3199139582 3640400214 4798709373 6398279164 7280800428 9597418746 17595267701 19194837492 35190535402 52785803103 70381070804 105571606206 211143212412