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212153241040 = 24513203993501
BaseRepresentation
bin1100010110010101010…
…0011000110111010000
3202021121022202022000221
43011211110120313100
511433442212203130
6241243432122424
721220232536426
oct3054524306720
9667538668027
10212153241040
1181a78a79064
1235149836414
1317010148b70
14a3a81cd116
1557ba3b487a
hex3165518dd0

212153241040 has 40 divisors (see below), whose sum is σ = 531199079208. Its totient is φ = 78333504000.

The previous prime is 212153241031. The next prime is 212153241049. The reversal of 212153241040 is 40142351212.

It is an interprime number because it is at equal distance from previous prime (212153241031) and next prime (212153241049).

It can be written as a sum of positive squares in 4 ways, for example, as 40568405056 + 171584835984 = 201416^2 + 414228^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-4 number, since 4×2121532410404 (a number of 46 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212153240996 and 212153241014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212153241049) 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 7 ways as a sum of consecutive naturals, for example, 101995711 + ... + 101997790.

Almost surely, 2212153241040 is an apocalyptic number.

212153241040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212153241040 is an abundant number, since it is smaller than the sum of its proper divisors (319045838168).

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

212153241040 is a wasteful number, since it uses less digits than its factorization.

212153241040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203993527 (or 203993521 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 212153241040 its reverse (40142351212), we get a palindrome (252295592252).

The spelling of 212153241040 in words is "two hundred twelve billion, one hundred fifty-three million, two hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 203993501 407987002 815974004 1019967505 1631948008 2039935010 2651915513 3263896016 4079870020 5303831026 8159740040 10607662052 13259577565 16319480080 21215324104 26519155130 42430648208 53038310260 106076620520 212153241040