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122130332202330 = 232553139184200311
BaseRepresentation
bin11011110001001110101111…
…000100010011010101011010
3121000102112201211122202110100
4123301032233010103111122
5112001440410020433310
61111425522225200230
734503424325136414
oct3361165704232532
9530375654582410
10122130332202330
1135a07201662701
1211845815190076
13531bac1629b9a
1422231d51819b4
15e1bd54716ec0
hex6f13af11355a

122130332202330 has 96 divisors (see below), whose sum is σ = 325857719940480. Its totient is φ = 31723714189440.

The previous prime is 122130332202251. The next prime is 122130332202407. The reversal of 122130332202330 is 33202233031221.

122130332202330 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 3 + 0 + 3 + 322 + 0 + 2 + 330 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122130332202294 and 122130332202303.

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, 91437126 + ... + 92763185.

It is an arithmetic number, because the mean of its divisors is an integer number (3394351249380).

Almost surely, 2122130332202330 is an apocalyptic number.

122130332202330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122130332202330 is an abundant number, since it is smaller than the sum of its proper divisors (203727387738150).

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

122130332202330 is a wasteful number, since it uses less digits than its factorization.

122130332202330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184200516 (or 184200513 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 122130332202330 its reverse (33202233031221), we get a palindrome (155332565233551).

The spelling of 122130332202330 in words is "one hundred twenty-two trillion, one hundred thirty billion, three hundred thirty-two million, two hundred two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 139 159 265 278 318 417 477 530 695 795 834 954 1251 1390 1590 2085 2385 2502 4170 4770 6255 7367 12510 14734 22101 36835 44202 66303 73670 110505 132606 221010 331515 663030 184200311 368400622 552600933 921001555 1105201866 1657802799 1842003110 2763004665 3315605598 5526009330 8289013995 9762616483 16578027990 19525232966 25603843229 29287849449 48813082415 51207686458 58575698898 76811529687 87863548347 97626164830 128019216145 146439247245 153623059374 175727096694 230434589061 256038432290 292878494490 384057648435 439317741735 460869178122 768115296870 878635483470 1152172945305 1357003691137 2304345890610 2714007382274 4071011073411 6785018455685 8142022146822 12213033220233 13570036911370 20355055367055 24426066440466 40710110734110 61065166101165 122130332202330