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31007361700 = 22527247134639
BaseRepresentation
bin11100111000001011…
…101100101010100100
32222000221211011211201
4130320023230222210
51002000341033300
622124455212244
72145251140300
oct347013545244
988027734751
1031007361700
1112171935867
126014377084
132c01cac003
141702150d00
15c172b166a
hex7382ecaa4

31007361700 has 108 divisors (see below), whose sum is σ = 79937383680. Its totient is φ = 10404824640.

The previous prime is 31007361691. The next prime is 31007361743. The reversal of 31007361700 is 716370013.

It is a super-2 number, since 2×310073617002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 162981 + ... + 297619.

It is an arithmetic number, because the mean of its divisors is an integer number (740160960).

Almost surely, 231007361700 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 31007361700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39968691840).

31007361700 is an abundant number, since it is smaller than the sum of its proper divisors (48930021980).

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

31007361700 is a wasteful number, since it uses less digits than its factorization.

31007361700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134714 (or 134700 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 28.

The spelling of 31007361700 in words is "thirty-one billion, seven million, three hundred sixty-one thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 49 50 70 94 98 100 140 175 188 196 235 245 329 350 470 490 658 700 940 980 1175 1225 1316 1645 2303 2350 2450 3290 4606 4700 4900 6580 8225 9212 11515 16450 23030 32900 46060 57575 115150 134639 230300 269278 538556 673195 942473 1346390 1884946 2692780 3365975 3769892 4712365 6328033 6597311 6731950 9424730 12656066 13194622 13463900 18849460 23561825 25312132 26389244 31640165 32986555 44296231 47123650 63280330 65973110 88592462 94247300 126560660 131946220 158200825 164932775 177184924 221481155 310073617 316401650 329865550 442962310 620147234 632803300 659731100 885924620 1107405775 1240294468 1550368085 2214811550 3100736170 4429623100 6201472340 7751840425 15503680850 31007361700