Search a number
-
+
31220201303424 = 273272553078963
BaseRepresentation
bin1110001100101000001010…
…00000100010110110000000
311002112121210111201102002200
413012110011000202312000
513043002433013202144
6150222210143513200
76401404456342500
oct706240500426600
9132477714642080
1031220201303424
119a4745a7aa431
1236028262b8800
13145608b024223
1479d0cc7dba00
15392198245c69
hex1c6505022d80

31220201303424 has 144 divisors (see below), whose sum is σ = 104507035642620. Its totient is φ = 8920057499136.

The previous prime is 31220201303383. The next prime is 31220201303491. The reversal of 31220201303424 is 42430310202213.

31220201303424 is a `hidden beast` number, since 3 + 1 + 2 + 2 + 0 + 201 + 30 + 3 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 276483034 + ... + 276595929.

Almost surely, 231220201303424 is an apocalyptic number.

It is an amenable number.

31220201303424 is an abundant number, since it is smaller than the sum of its proper divisors (73286834339196).

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

31220201303424 is a wasteful number, since it uses less digits than its factorization.

31220201303424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553078997 (or 553078975 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31220201303424 its reverse (42430310202213), we get a palindrome (73650511505637).

The spelling of 31220201303424 in words is "thirty-one trillion, two hundred twenty billion, two hundred one million, three hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 128 144 147 168 192 196 224 252 288 294 336 384 392 441 448 504 576 588 672 784 882 896 1008 1152 1176 1344 1568 1764 2016 2352 2688 3136 3528 4032 4704 6272 7056 8064 9408 14112 18816 28224 56448 553078963 1106157926 1659236889 2212315852 3318473778 3871552741 4424631704 4977710667 6636947556 7743105482 8849263408 9955421334 11614658223 13273895112 15486210964 17698526816 19910842668 23229316446 26547790224 27100869187 30972421928 34843974669 35397053632 39821685336 46458632892 53095580448 54201738374 61944843856 69687949338 70794107264 79643370672 81302607561 92917265784 106191160896 108403476748 123889687712 139375898676 159286741344 162605215122 185834531568 212382321792 216806953496 243907822683 247779375424 278751797352 318573482688 325210430244 371669063136 433613906992 487815645366 495558750848 557503594704 637146965376 650420860488 743338126272 867227813984 975631290732 1115007189408 1300841720976 1486676252544 1734455627968 1951262581464 2230014378816 2601683441952 3468911255936 3902525162928 4460028757632 5203366883904 7805050325856 10406733767808 15610100651712 31220201303424