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122101322311020 = 223513433640468763
BaseRepresentation
bin11011110000110011101101…
…111100010110010101101100
3121000022202212002102120212110
4123300303231330112111230
5112001002002002423040
61111404323442404020
734501346410134003
oct3360635574262554
9530282762376773
10122101322311020
11359a59752a6a18
1211840079960610
13531914a41aa20
142221a4242bc3a
15e1b2079b8980
hex6f0cedf1656c

122101322311020 has 96 divisors (see below), whose sum is σ = 376744831448832. Its totient is φ = 29356740096768.

The previous prime is 122101322311013. The next prime is 122101322311061. The reversal of 122101322311020 is 20113223101221.

It is a super-2 number, since 2×1221013223110202 (a number of 29 digits) contains 22 as substring.

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, 1820200842 + ... + 1820267921.

It is an arithmetic number, because the mean of its divisors is an integer number (3924425327592).

Almost surely, 2122101322311020 is an apocalyptic number.

122101322311020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101322311020 is an abundant number, since it is smaller than the sum of its proper divisors (254643509137812).

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

122101322311020 is a wasteful number, since it uses less digits than its factorization.

122101322311020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640468831 (or 3640468829 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 122101322311020 its reverse (20113223101221), we get a palindrome (142214545412241).

The spelling of 122101322311020 in words is "one hundred twenty-two trillion, one hundred one billion, three hundred twenty-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 43 52 60 65 78 86 129 130 156 172 195 215 258 260 390 430 516 559 645 780 860 1118 1290 1677 2236 2580 2795 3354 5590 6708 8385 11180 16770 33540 3640468763 7280937526 10921406289 14561875052 18202343815 21842812578 36404687630 43685625156 47326093919 54607031445 72809375260 94652187838 109214062890 141978281757 156540156809 189304375676 218428125780 236630469595 283956563514 313080313618 469620470427 473260939190 567913127028 626160627236 709891408785 782700784045 939240940854 946521878380 1419782817570 1565401568090 1878481881708 2035022038517 2348102352135 2839565635140 3130803136180 4070044077034 4696204704270 6105066115551 8140088154068 9392409408540 10175110192585 12210132231102 20350220385170 24420264462204 30525330577755 40700440770340 61050661155510 122101322311020