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212001310096 = 2459219512
BaseRepresentation
bin1100010101110001000…
…0110100010110010000
3202021012201212101221221
43011130100310112100
511433134313410341
6241220403454424
721213406255162
oct3053420642620
9667181771857
10212001310096
1181a002380a4
1235106987414
1316cb78220b4
14a391d60932
1557abda2ed1
hex315c434590

212001310096 has 45 divisors (see below), whose sum is σ = 418046717163. Its totient is φ = 104150623200.

The previous prime is 212001310067. The next prime is 212001310097. The reversal of 212001310096 is 690013100212.

The square root of 212001310096 is 460436.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212001310096.

It is not an unprimeable number, because it can be changed into a prime (212001310097) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108661921 + ... + 108663871.

Almost surely, 2212001310096 is an apocalyptic number.

212001310096 is the 460436-th square number.

It is an amenable number.

212001310096 is a deficient number, since it is larger than the sum of its proper divisors (206045407067).

212001310096 is an frugal number, since it uses more digits than its factorization.

212001310096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4028 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

Multiplying 212001310096 by its sum of digits (25), we get a square (5300032752400 = 23021802).

The spelling of 212001310096 in words is "two hundred twelve billion, one million, three hundred ten thousand, ninety-six".

Divisors: 1 2 4 8 16 59 118 236 472 944 1951 3481 3902 6962 7804 13924 15608 27848 31216 55696 115109 230218 460436 920872 1841744 3806401 6791431 7612802 13582862 15225604 27165724 30451208 54331448 60902416 108662896 224577659 449155318 898310636 1796621272 3593242544 13250081881 26500163762 53000327524 106000655048 212001310096