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122132112203010 = 23571355780317841
BaseRepresentation
bin11011110001010000011001…
…001010011101110100000010
3121000102201022220001011100110
4123301100121022131310002
5112002003031210444020
61111430415012532150
734503516410656650
oct3361203112356402
9530381286034313
10122132112203010
1135a07a353a7548
1211846031321056
13531c016336c20
14222332372ddd0
15e1be0ab1e8e0
hex6f141929dd02

122132112203010 has 128 divisors (see below), whose sum is σ = 361407157461504. Its totient is φ = 25722270167040.

The previous prime is 122132112202967. The next prime is 122132112203027. The reversal of 122132112203010 is 10302211231221.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38638311 + ... + 41679530.

It is an arithmetic number, because the mean of its divisors is an integer number (2823493417668).

Almost surely, 2122132112203010 is an apocalyptic number.

122132112203010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122132112203010 is an abundant number, since it is smaller than the sum of its proper divisors (239275045258494).

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

122132112203010 is a wasteful number, since it uses less digits than its factorization.

122132112203010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80318428.

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

Adding to 122132112203010 its reverse (10302211231221), we get a palindrome (132434323434231).

The spelling of 122132112203010 in words is "one hundred twenty-two trillion, one hundred thirty-two billion, one hundred twelve million, two hundred three thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 557 910 1114 1365 1671 2730 2785 3342 3899 5570 7241 7798 8355 11697 14482 16710 19495 21723 23394 36205 38990 43446 50687 58485 72410 101374 108615 116970 152061 217230 253435 304122 506870 760305 1520610 80317841 160635682 240953523 401589205 481907046 562224887 803178410 1044131933 1124449774 1204767615 1686674661 2088263866 2409535230 2811124435 3132395799 3373349322 5220659665 5622248870 6264791598 7308923531 8433373305 10441319330 14617847062 15661978995 16866746610 21926770593 31323957990 36544617655 43853541186 44737037437 73089235310 89474074874 109633852965 134211112311 219267705930 223685187185 268422224622 313159262059 447370374370 581581486681 626318524118 671055561555 939477786177 1163162973362 1342111123110 1565796310295 1744744460043 1878955572354 2907907433405 3131592620590 3489488920086 4071070406767 4697388930885 5815814866810 8142140813534 8723722300215 9394777861770 12213211220301 17447444600430 20355352033835 24426422440602 40710704067670 61066056101505 122132112203010