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2312023123212 = 22311151419276839
BaseRepresentation
bin100001101001001111010…
…100010010010100001100
322012000201212101211010220
4201221033110102110030
5300340010404420322
64530043451231340
7326016042201645
oct41511724222414
98160655354126
102312023123212
11811583862550
12314103a48550
1313a03b26266a
147dc8c70c6cc
154021ae7855c
hex21a4f51250c

2312023123212 has 96 divisors (see below), whose sum is σ = 5938284441600. Its totient is φ = 694309704000.

The previous prime is 2312023123199. The next prime is 2312023123271. The reversal of 2312023123212 is 2123213202132.

It is an unprimeable number.

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, 8213089 + ... + 8489927.

It is an arithmetic number, because the mean of its divisors is an integer number (61857129600).

Almost surely, 22312023123212 is an apocalyptic number.

2312023123212 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 2312023123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969142220800).

2312023123212 is an abundant number, since it is smaller than the sum of its proper divisors (3626261318388).

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

2312023123212 is a wasteful number, since it uses less digits than its factorization.

2312023123212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277427 (or 277425 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 2312023123212 its reverse (2123213202132), we get a palindrome (4435236325344).

The spelling of 2312023123212 in words is "two trillion, three hundred twelve billion, twenty-three million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 419 453 604 838 906 1257 1661 1676 1812 2514 3322 4609 4983 5028 6644 9218 9966 13827 18436 19932 27654 55308 63269 126538 189807 253076 276839 379614 553678 695959 759228 830517 1107356 1391918 1661034 2087877 2783836 3045229 3322068 4175754 6090458 8351508 9135687 12180916 18271374 36542748 41802689 83605378 115995541 125408067 167210756 231991082 250816134 347986623 459829579 463982164 501632268 695973246 919659158 1275950951 1379488737 1391946492 1839318316 2551901902 2758977474 3827852853 5103803804 5517954948 7655705706 15311411412 17515326691 35030653382 52545980073 70061306764 105091960146 192668593601 210183920292 385337187202 578005780803 770674374404 1156011561606 2312023123212