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312013332120 = 233573710039039
BaseRepresentation
bin1001000101001010111…
…00011001111010011000
31002211100202010112022210
410202211130121322120
520103000403111440
6355200440315120
731353660364260
oct4424534317230
91084322115283
10312013332120
11110362434556
1250578772aa0
1323565980859
141115c8307a0
1581b21b4a80
hex48a5719e98

312013332120 has 128 divisors (see below), whose sum is σ = 1098672537600. Its totient is φ = 69389830656.

The previous prime is 312013332119. The next prime is 312013332131. The reversal of 312013332120 is 21233310213.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4988440 + ... + 5050599.

It is an arithmetic number, because the mean of its divisors is an integer number (8583379200).

Almost surely, 2312013332120 is an apocalyptic number.

312013332120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312013332120 is an abundant number, since it is smaller than the sum of its proper divisors (786659205480).

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

312013332120 is a wasteful number, since it uses less digits than its factorization.

312013332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10039097 (or 10039093 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 312013332120 its reverse (21233310213), we get a palindrome (333246642333).

The spelling of 312013332120 in words is "three hundred twelve billion, thirteen million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4440 5180 6216 7770 10360 15540 31080 10039039 20078078 30117117 40156156 50195195 60234234 70273273 80312312 100390390 120468468 140546546 150585585 200780780 210819819 240936936 281093092 301171170 351366365 371444443 401561560 421639638 562186184 602342340 702732730 742888886 843279276 1054099095 1114333329 1204684680 1405465460 1485777772 1686558552 1857222215 2108198190 2228666658 2600111101 2810930920 2971555544 3714444430 4216396380 4457333316 5200222202 5571666645 7428888860 7800333303 8432792760 8914666632 10400444404 11143333290 13000555505 14857777720 15600666606 20800888808 22286666580 26001111010 31201333212 39001666515 44573333160 52002222020 62402666424 78003333030 104004444040 156006666060 312013332120