Search a number
-
+
100220103220120 = 235132926924705931
BaseRepresentation
bin10110110010011001001111…
…101001101101101110011000
3111010211221121022100121102021
4112302121033221231232120
5101114001232411020440
6553052251350344224
730052443404506402
oct2662311751555630
9433757538317367
10100220103220120
1129a2a11a598184
12b2a73b195b074
1343bc93b340130
141aa6970ba7b72
15b8be4ca9d84a
hex5b264fa6db98

100220103220120 has 128 divisors (see below), whose sum is σ = 252148741992000. Its totient is φ = 35595513354240.

The previous prime is 100220103220103. The next prime is 100220103220121. The reversal of 100220103220120 is 21022301022001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100220103220094 and 100220103220103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220103220121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8296446 + ... + 16409485.

Almost surely, 2100220103220120 is an apocalyptic number.

100220103220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220103220120 is an abundant number, since it is smaller than the sum of its proper divisors (151928638771880).

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

100220103220120 is a wasteful number, since it uses less digits than its factorization.

100220103220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24706253 (or 24706249 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100220103220120 its reverse (21022301022001), we get a palindrome (121242404242121).

The spelling of 100220103220120 in words is "one hundred trillion, two hundred twenty billion, one hundred three million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 29 40 52 58 65 104 116 130 145 232 260 269 290 377 520 538 580 754 1076 1160 1345 1508 1885 2152 2690 3016 3497 3770 5380 6994 7540 7801 10760 13988 15080 15602 17485 27976 31204 34970 39005 62408 69940 78010 101413 139880 156020 202826 312040 405652 507065 811304 1014130 2028260 4056520 24705931 49411862 98823724 123529655 197647448 247059310 321177103 494118620 642354206 716471999 988237240 1284708412 1432943998 1605885515 2569416824 2865887996 3211771030 3582359995 5731775992 6423542060 6645895439 7164719990 9314135987 12847084120 13291790878 14329439980 18628271974 26583581756 28658879960 33229477195 37256543948 46570679935 53167163512 66458954390 74513087896 86396640707 93141359870 132917908780 172793281414 186282719740 192730967731 265835817560 345586562828 372565439480 385461935462 431983203535 691173125656 770923870924 863966407070 963654838655 1541847741848 1727932814140 1927309677310 2505502580503 3455865628280 3854619354620 5011005161006 7709238709240 10022010322012 12527512902515 20044020644024 25055025805030 50110051610060 100220103220120