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31301133030 = 23256731116691
BaseRepresentation
bin11101001001101100…
…010110001011100110
32222210102121022100100
4131021230112023212
51003101042224110
622213551524530
72155446145416
oct351154261346
988712538310
1031301133030
1112302745592
126096829746
132c4ab089bb
14172d182646
15c32e8ebc0
hex749b162e6

31301133030 has 96 divisors (see below), whose sum is σ = 82868168448. Its totient is φ = 8195457600.

The previous prime is 31301132999. The next prime is 31301133037. The reversal of 31301133030 is 3033110313.

31301133030 is a `hidden beast` number, since 3 + 1 + 301 + 1 + 330 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31301132994 and 31301133012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31301133037) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1866985 + ... + 1883675.

It is an arithmetic number, because the mean of its divisors is an integer number (863210088).

Almost surely, 231301133030 is an apocalyptic number.

31301133030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31301133030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41434084224).

31301133030 is an abundant number, since it is smaller than the sum of its proper divisors (51567035418).

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

31301133030 is a wasteful number, since it uses less digits than its factorization.

31301133030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17082 (or 17079 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 31301133030 its reverse (3033110313), we get a palindrome (34334243343).

The spelling of 31301133030 in words is "thirty-one billion, three hundred one million, one hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 311 335 402 603 622 670 933 1005 1206 1555 1866 2010 2799 3015 3110 4665 5598 6030 9330 13995 16691 20837 27990 33382 41674 50073 62511 83455 100146 104185 125022 150219 166910 187533 208370 250365 300438 312555 375066 500730 625110 751095 937665 1118297 1502190 1875330 2236594 3354891 5190901 5591485 6709782 10064673 10381802 11182970 15572703 16774455 20129346 25954505 31145406 33548910 46718109 50323365 51909010 77863515 93436218 100646730 155727030 233590545 347790367 467181090 695580734 1043371101 1738951835 2086742202 3130113303 3477903670 5216855505 6260226606 10433711010 15650566515 31301133030