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121000103224 = 2371113101149603
BaseRepresentation
bin111000010110000101…
…0110000110100111000
3102120022201001010012121
41300230022300310320
53440302011300344
6131330420051024
711512331623150
oct1605412606470
9376281033177
10121000103224
1147352449510
121b54a833a74
13b54445c520
145bdc0bd760
153232ba7684
hex1c2c2b0d38

121000103224 has 128 divisors (see below), whose sum is σ = 307633697280. Its totient is φ = 43085376000.

The previous prime is 121000103221. The next prime is 121000103243. The reversal of 121000103224 is 422301000121.

It is a junction number, because it is equal to n+sod(n) for n = 121000103198 and 121000103207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121000103221) 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, 734007 + ... + 883609.

It is an arithmetic number, because the mean of its divisors is an integer number (2403388260).

Almost surely, 2121000103224 is an apocalyptic number.

121000103224 is a gapful number since it is divisible by the number (14) 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 121000103224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153816848640).

121000103224 is an abundant number, since it is smaller than the sum of its proper divisors (186633594056).

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

121000103224 is a wasteful number, since it uses less digits than its factorization.

121000103224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149741 (or 149737 counting only the distinct ones).

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

Adding to 121000103224 its reverse (422301000121), we get a palindrome (543301103345).

The spelling of 121000103224 in words is "one hundred twenty-one billion, one hundred three thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 101 104 143 154 182 202 286 308 364 404 572 616 707 728 808 1001 1111 1144 1313 1414 2002 2222 2626 2828 4004 4444 5252 5656 7777 8008 8888 9191 10504 14443 15554 18382 28886 31108 36764 57772 62216 73528 101101 115544 149603 202202 299206 404404 598412 808808 1047221 1196824 1645633 1944839 2094442 3291266 3889678 4188884 6582532 7779356 8377768 11519431 13165064 13613873 15109903 15558712 21393229 23038862 27227746 30219806 42786458 46077724 54455492 60439612 85572916 92155448 105769321 108910984 120879224 149752603 166208933 171145832 196428739 211538642 299505206 332417866 392857478 423077284 599010412 664835732 785714956 846154568 1163462531 1198020824 1329671464 1375001173 1571429912 2160716129 2326925062 2750002346 4321432258 4653850124 5500004692 8642864516 9307700248 11000009384 15125012903 17285729032 30250025806 60500051612 121000103224