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212222131000 = 23531142434547
BaseRepresentation
bin1100010110100101101…
…1001011101100111000
3202021210010101021021221
43011221123023230320
511434112331143000
6241254332441424
721222030230665
oct3055133135470
9667703337257
10212222131000
1182003951110
1235168919274
13170214b9359
14a3b3402a6c
1557c147161a
hex31696cbb38

212222131000 has 128 divisors (see below), whose sum is σ = 541992072960. Its totient is φ = 77136528000.

The previous prime is 212222130997. The next prime is 212222131007. The reversal of 212222131000 is 131222212.

It is a happy number.

212222131000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2122221310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212222131007) 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, 46670727 + ... + 46675273.

It is an arithmetic number, because the mean of its divisors is an integer number (4234313070).

Almost surely, 2212222131000 is an apocalyptic number.

212222131000 is a gapful number since it is divisible by the number (20) 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 212222131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270996036480).

212222131000 is an abundant number, since it is smaller than the sum of its proper divisors (329769941960).

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

212222131000 is a wasteful number, since it uses less digits than its factorization.

212222131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 8808 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 212222131000 its reverse (131222212), we get a palindrome (212353353212).

It can be divided in two parts, 2122 and 22131000, that added together give a palindrome (22133122).

The spelling of 212222131000 in words is "two hundred twelve billion, two hundred twenty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 4243 4547 5500 8486 9094 11000 16972 18188 21215 22735 33944 36376 42430 45470 46673 50017 84860 90940 93346 100034 106075 113675 169720 181880 186692 200068 212150 227350 233365 250085 373384 400136 424300 454700 466730 500170 530375 568375 848600 909400 933460 1000340 1060750 1136750 1166825 1250425 1866920 2000680 2121500 2273500 2333650 2500850 4243000 4547000 4667300 5001700 5834125 6252125 9334600 10003400 11668250 12504250 19292921 23336500 25008500 38585842 46673000 50017000 77171684 96464605 154343368 192929210 212222131 385858420 424444262 482323025 771716840 848888524 964646050 1061110655 1697777048 1929292100 2122221310 2411615125 3858584200 4244442620 4823230250 5305553275 8488885240 9646460500 10611106550 19292921000 21222213100 26527766375 42444426200 53055532750 106111065500 212222131000