Search a number
-
+
120022245270 = 23252359397777
BaseRepresentation
bin110111111000111100…
…0100001111110010110
3102110210120000210021100
41233301320201332112
53431301143322040
6131045405130530
711446156152264
oct1576170417626
9373716023240
10120022245270
11469a0479344
121b317259a46
13b4199a5755
145b48297434
1531c6debb30
hex1bf1e21f96

120022245270 has 96 divisors (see below), whose sum is σ = 326178021312. Its totient is φ = 30562430976.

The previous prime is 120022245269. The next prime is 120022245281. The reversal of 120022245270 is 72542220021.

120022245270 is a `hidden beast` number, since 1 + 200 + 2 + 2 + 2 + 452 + 7 + 0 = 666.

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, 1178622 + ... + 1276398.

It is an arithmetic number, because the mean of its divisors is an integer number (3397687722).

Almost surely, 2120022245270 is an apocalyptic number.

120022245270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022245270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163089010656).

120022245270 is an abundant number, since it is smaller than the sum of its proper divisors (206155776042).

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

120022245270 is a wasteful number, since it uses less digits than its factorization.

120022245270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98406 (or 98403 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 120022245270 its reverse (72542220021), we get a palindrome (192564465291).

The spelling of 120022245270 in words is "one hundred twenty billion, twenty-two million, two hundred forty-five thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 593 690 1035 1186 1779 2070 2965 3558 5337 5930 8895 10674 13639 17790 26685 27278 40917 53370 68195 81834 97777 122751 136390 195554 204585 245502 293331 409170 488885 586662 613755 879993 977770 1227510 1466655 1759986 2248871 2933310 4399965 4497742 6746613 8799930 11244355 13493226 20239839 22488710 33733065 40479678 57981761 67466130 101199195 115963522 173945283 202398390 289908805 347890566 521835849 579817610 869726415 1043671698 1333580503 1739452830 2609179245 2667161006 4000741509 5218358490 6667902515 8001483018 12002224527 13335805030 20003707545 24004449054 40007415090 60011122635 120022245270