Search a number
-
+
210031332202120 = 2351113330711110301
BaseRepresentation
bin101111110000010110111010…
…111100101001011010001000
31000112122210120122221002112011
4233300112322330221122020
5210012123132020431440
62022411021220225304
762145156131211142
oct5760267274513210
91015583518832464
10210031332202120
1160a16873582590
121b68159023b234
139026b3c7b0870
1439c17dc0a1c92
1519435e4a5c9ea
hexbf05baf29688

210031332202120 has 128 divisors (see below), whose sum is σ = 555205005089280. Its totient is φ = 70497832320000.

The previous prime is 210031332202117. The next prime is 210031332202183. The reversal of 210031332202120 is 21202233130012.

It is a super-2 number, since 2×2100313322021202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 210031332202091 and 210031332202100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188610970 + ... + 189721270.

It is an arithmetic number, because the mean of its divisors is an integer number (4337539102260).

Almost surely, 2210031332202120 is an apocalyptic number.

210031332202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210031332202120 is an abundant number, since it is smaller than the sum of its proper divisors (345173672887160).

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

210031332202120 is a wasteful number, since it uses less digits than its factorization.

210031332202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143407 (or 1143403 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 210031332202120 its reverse (21202233130012), we get a palindrome (231233565332132).

The spelling of 210031332202120 in words is "two hundred ten trillion, thirty-one billion, three hundred thirty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2860 5720 33071 66142 132284 165355 264568 330710 363781 429923 661420 727562 859846 1110301 1322840 1455124 1719692 1818905 2149615 2220602 2910248 3439384 3637810 4299230 4441204 4729153 5551505 7275620 8598460 8882408 9458306 11103010 12213311 14433913 14551240 17196920 18916612 22206020 23645765 24426622 28867826 37833224 44412040 47291530 48853244 57735652 61066555 72169565 94583060 97706488 115471304 122133110 144339130 158773043 189166120 244266220 288678260 317546086 488532440 577356520 635092172 793865215 1270184344 1587730430 3175460860 6350921720 36718764371 73437528742 146875057484 183593821855 293750114968 367187643710 403906408081 477343936823 734375287420 807812816162 954687873646 1468750574840 1615625632324 1909375747292 2019532040405 2386719684115 3231251264648 3818751494584 4039064080810 4773439368230 5250783305053 8078128161620 9546878736460 10501566610106 16156256323240 19093757472920 21003133220212 26253916525265 42006266440424 52507833050530 105015666101060 210031332202120