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121021320303100 = 225271712498142401
BaseRepresentation
bin11011100001000101111000…
…110011101001000111111100
3120212111112011220010002001001
4123201011320303221013330
5111330303130444144400
61105220232123300044
734330334064421240
oct3341057063510774
9525445156102031
10121021320303100
1135619943323408
12116a68ab37a624
13526b352796479
1421c566ac86420
15ded0979d8a6a
hex6e1178ce91fc

121021320303100 has 144 divisors (see below), whose sum is σ = 318042222120000. Its totient is φ = 39020986368000.

The previous prime is 121021320303019. The next prime is 121021320303181. The reversal of 121021320303100 is 1303023120121.

It is an interprime number because it is at equal distance from previous prime (121021320303019) and next prime (121021320303181).

It is a super-2 number, since 2×1210213203031002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10791900 + ... + 18934300.

It is an arithmetic number, because the mean of its divisors is an integer number (2208626542500).

Almost surely, 2121021320303100 is an apocalyptic number.

121021320303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121021320303100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159021111060000).

121021320303100 is an abundant number, since it is smaller than the sum of its proper divisors (197020901816900).

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

121021320303100 is a wasteful number, since it uses less digits than its factorization.

121021320303100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143688 (or 8143681 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 121021320303100 its reverse (1303023120121), we get a palindrome (122324343423221).

The spelling of 121021320303100 in words is "one hundred twenty-one trillion, twenty-one billion, three hundred twenty million, three hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 100 119 140 170 175 238 340 350 425 476 595 700 850 1190 1249 1700 2380 2498 2975 4996 5950 6245 8743 11900 12490 17486 21233 24980 31225 34972 42466 43715 62450 84932 87430 106165 124900 148631 174860 212330 218575 297262 424660 437150 530825 594524 743155 874300 1061650 1486310 2123300 2972620 3715775 7431550 8142401 14863100 16284802 32569604 40712005 56996807 81424010 113993614 138420817 162848020 203560025 227987228 276841634 284984035 407120050 553683268 569968070 692104085 814240100 968945719 1139936140 1384208170 1424920175 1937891438 2768416340 2849840350 3460520425 3875782876 4844728595 5699680700 6921040850 9689457190 10169858849 13842081700 19378914380 20339717698 24223642975 40679435396 48447285950 50849294245 71189011943 96894571900 101698588490 142378023886 172887600433 203397176980 254246471225 284756047772 345775200866 355945059715 508492942450 691550401732 711890119430 864438002165 1016985884900 1210213203031 1423780238860 1728876004330 1779725298575 2420426406062 3457752008660 3559450597150 4322190010825 4840852812124 6051066015155 7118901194300 8644380021650 12102132030310 17288760043300 24204264060620 30255330075775 60510660151550 121021320303100