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312012110200 = 23527271822383
BaseRepresentation
bin1001000101001010101…
…11101111100101111000
31002211100122211110011111
410202211113233211320
520103000100011300
6355200354210104
731353644114650
oct4424527574570
91084318743144
10312012110200
1111036177a4aa
1250578283934
132356564361b
141115c5d3360
1581b20229ba
hex48a55ef978

312012110200 has 96 divisors (see below), whose sum is σ = 832121026560. Its totient is φ = 106580707200.

The previous prime is 312012110159. The next prime is 312012110203. The reversal of 312012110200 is 2011210213.

It is a super-2 number, since 2×3120121102002 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312012110203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31792 + ... + 790591.

It is an arithmetic number, because the mean of its divisors is an integer number (8667927360).

Almost surely, 2312012110200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312012110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416060513280).

312012110200 is an abundant number, since it is smaller than the sum of its proper divisors (520108916360).

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

312012110200 is a wasteful number, since it uses less digits than its factorization.

312012110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822677 (or 822668 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 312012110200 its reverse (2011210213), we get a palindrome (314023320413).

The spelling of 312012110200 in words is "three hundred twelve billion, twelve million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 271 280 350 542 700 1084 1355 1400 1897 2168 2710 3794 5420 6775 7588 9485 10840 13550 15176 18970 27100 37940 47425 54200 75880 94850 189700 379400 822383 1644766 3289532 4111915 5756681 6579064 8223830 11513362 16447660 20559575 23026724 28783405 32895320 41119150 46053448 57566810 82238300 115133620 143917025 164476600 222865793 230267240 287834050 445731586 575668100 891463172 1114328965 1151336200 1560060551 1782926344 2228657930 3120121102 4457315860 5571644825 6240242204 7800302755 8914631720 11143289650 12480484408 15600605510 22286579300 31201211020 39001513775 44573158600 62402422040 78003027550 156006055100 312012110200