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31001203103220 = 223257107309229283
BaseRepresentation
bin1110000110010000001111…
…01100101101010111110100
311001202200112010222011022200
413003020013230231113310
513030410430443300340
6145533431152224500
76346522466346630
oct703100754552764
9131680463864280
1031001203103220
119972599a52229
1235882a823b130
13143b529a4788c
147926754cddc0
1538b62be90330
hex1c3207b2d5f4

31001203103220 has 144 divisors (see below), whose sum is σ = 107472307662720. Its totient is φ = 7085892342528.

The previous prime is 31001203103179. The next prime is 31001203103257. The reversal of 31001203103220 is 2230130210013.

31001203103220 is a `hidden beast` number, since 3 + 10 + 0 + 1 + 20 + 310 + 322 + 0 = 666.

It is a super-2 number, since 2×310012031032202 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 31001203103193 and 31001203103202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135094699 + ... + 135323981.

It is an arithmetic number, because the mean of its divisors is an integer number (746335469880).

Almost surely, 231001203103220 is an apocalyptic number.

31001203103220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31001203103220 is an abundant number, since it is smaller than the sum of its proper divisors (76471104559500).

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

31001203103220 is a wasteful number, since it uses less digits than its factorization.

31001203103220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336614 (or 336609 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 31001203103220 its reverse (2230130210013), we get a palindrome (33231333313233).

The spelling of 31001203103220 in words is "thirty-one trillion, one billion, two hundred three million, one hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 107309 214618 229283 321927 429236 458566 536545 643854 687849 751163 917132 965781 1073090 1146415 1287708 1375698 1502326 1604981 1609635 1931562 2063547 2146180 2253489 2292830 2751396 3004652 3209962 3219270 3439245 3755815 3863124 4127094 4506978 4585660 4814943 4828905 6419924 6438540 6760467 6878490 7511630 8024905 8254188 9013956 9629886 9657810 10317735 11267445 13520934 13756980 14444829 15023260 16049810 19259772 19315620 20635470 22534890 24074715 27041868 28889658 32099620 33802335 41270940 45069780 48149430 57779316 67604670 72224145 96298860 135209340 144448290 288896580 24604129447 49208258894 73812388341 98416517788 123020647235 147624776682 172228906129 221437165023 246041294470 295249553364 344457812258 369061941705 442874330046 492082588940 516686718387 688915624516 738123883410 861144530645 885748660092 1033373436774 1107185825115 1476247766820 1550060155161 1722289061290 2066746873548 2214371650230 2583433591935 3100120310322 3444578122580 4428743300460 5166867183870 6200240620644 7750300775805 10333734367740 15500601551610 31001203103220