Search a number
-
+
101320212223020 = 22357192668250971
BaseRepresentation
bin10111000010011001110011…
…010000100001010000101100
3111021202010011210112022000110
4113002121303100201100230
5101240012243312114040
6555253510220300020
730225100211653560
oct2702316320412054
9437663153468013
10101320212223020
112a31372a42970a
12b4446520a1610
13446c5bb89195b
141b03cd29276a0
15baa887dd1980
hex5c267342142c

101320212223020 has 144 divisors (see below), whose sum is σ = 342187265726208. Its totient is φ = 21940015847040.

The previous prime is 101320212222989. The next prime is 101320212223033. The reversal of 101320212223020 is 20322212023101.

It is a super-2 number, since 2×1013202122230202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333973866 + ... + 334277105.

It is an arithmetic number, because the mean of its divisors is an integer number (2376300456432).

Almost surely, 2101320212223020 is an apocalyptic number.

101320212223020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101320212223020 is an abundant number, since it is smaller than the sum of its proper divisors (240867053503188).

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

101320212223020 is a wasteful number, since it uses less digits than its factorization.

101320212223020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668251028 (or 668251007 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101320212223020 its reverse (20322212023101), we get a palindrome (121642424246121).

The spelling of 101320212223020 in words is "one hundred one trillion, three hundred twenty billion, two hundred twelve million, two hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 361 380 399 420 532 570 665 722 798 1083 1140 1330 1444 1596 1805 1995 2166 2527 2660 3610 3990 4332 5054 5415 7220 7581 7980 10108 10830 12635 15162 21660 25270 30324 37905 50540 75810 151620 668250971 1336501942 2004752913 2673003884 3341254855 4009505826 4677756797 6682509710 8019011652 9355513594 10023764565 12696768449 13365019420 14033270391 18711027188 20047529130 23388783985 25393536898 28066540782 38090305347 40095058260 46777567970 50787073796 56133081564 63483842245 70166351955 76180610694 88877379143 93555135940 126967684490 140332703910 152361221388 177754758286 190451526735 241238600531 253935368980 266632137429 280665407820 355509516572 380903053470 444386895715 482477201062 533264274858 723715801593 761806106940 888773791430 964954402124 1066528549716 1206193002655 1333160687145 1447431603186 1688670203717 1777547582860 2412386005310 2666321374290 2894863206372 3377340407434 3618579007965 4824772010620 5066010611151 5332642748580 6754680814868 7237158015930 8443351018585 10132021222302 14474316031860 16886702037170 20264042444604 25330053055755 33773404074340 50660106111510 101320212223020