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31002033013320 = 23352383135332779
BaseRepresentation
bin1110000110010001110010…
…01010100100001001001000
311001202202122222120221221210
413003020321022210021020
513030414130422411240
6145534045400133120
76346552164435615
oct703107112441110
9131682588527853
1031002033013320
119972985461a46
12358849a1671a0
13143b62c970845
1479271380350c
1538b679c74780
hex1c32392a4248

31002033013320 has 128 divisors (see below), whose sum is σ = 98219118412800. Its totient is φ = 7812490608384.

The previous prime is 31002033013319. The next prime is 31002033013373. The reversal of 31002033013320 is 2331033020013.

It is a super-2 number, since 2×310020330133202 (a number of 28 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 67437310 + ... + 67895469.

It is an arithmetic number, because the mean of its divisors is an integer number (767336862600).

Almost surely, 231002033013320 is an apocalyptic number.

31002033013320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31002033013320 is an abundant number, since it is smaller than the sum of its proper divisors (67217085399480).

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

31002033013320 is a wasteful number, since it uses less digits than its factorization.

31002033013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135332899 (or 135332895 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 31002033013320 its reverse (2331033020013), we get a palindrome (33333066033333).

The spelling of 31002033013320 in words is "thirty-one trillion, two billion, thirty-three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 83 92 115 120 138 166 184 230 249 276 332 345 415 460 498 552 664 690 830 920 996 1245 1380 1660 1909 1992 2490 2760 3320 3818 4980 5727 7636 9545 9960 11454 15272 19090 22908 28635 38180 45816 57270 76360 114540 229080 135332779 270665558 405998337 541331116 676663895 811996674 1082662232 1353327790 1623993348 2029991685 2706655580 3112653917 3247986696 4059983370 5413311160 6225307834 8119966740 9337961751 11232620657 12450615668 15563269585 16239933480 18675923502 22465241314 24901231336 31126539170 33697861971 37351847004 44930482628 46689808755 56163103285 62253078340 67395723942 74703694008 89860965256 93379617510 112326206570 124506156680 134791447884 168489309855 186759235020 224652413140 258350275111 269582895768 336978619710 373518470040 449304826280 516700550222 673957239420 775050825333 1033401100444 1291751375555 1347914478840 1550101650666 2066802200888 2583502751110 3100203301332 3875254126665 5167005502220 6200406602664 7750508253330 10334011004440 15501016506660 31002033013320