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107152492280 = 23573132127779
BaseRepresentation
bin110001111001011001…
…0010100011011111000
3101020120122022121010012
41203302302110123320
53223422014223110
6121120345441052
710512224104451
oct1436262243370
9336518277105
10107152492280
1141496874449
12189251a0188
13a1485a7ab2
145286d54128
152bc2126905
hex18f2c946f8

107152492280 has 64 divisors (see below), whose sum is σ = 244589565600. Its totient is φ = 42240337920.

The previous prime is 107152492259. The next prime is 107152492301. The reversal of 107152492280 is 82294251701.

107152492280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (107152492259) and next prime (107152492301).

It is a super-2 number, since 2×1071524922802 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843431 + ... + 3871209.

Almost surely, 2107152492280 is an apocalyptic number.

107152492280 is a gapful number since it is divisible by the number (10) 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 107152492280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122294782800).

107152492280 is an abundant number, since it is smaller than the sum of its proper divisors (137437073320).

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

107152492280 is a wasteful number, since it uses less digits than its factorization.

107152492280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29184 (or 29180 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 41.

The spelling of 107152492280 in words is "one hundred seven billion, one hundred fifty-two million, four hundred ninety-two thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1321 1460 2642 2920 5284 6605 10568 13210 26420 27779 52840 55558 96433 111116 138895 192866 222232 277790 385732 482165 555580 771464 964330 1111160 1928660 2027867 3857320 4055734 8111468 10139335 16222936 20278670 36696059 40557340 73392118 81114680 146784236 183480295 293568472 366960590 733921180 1467842360 2678812307 5357624614 10715249228 13394061535 21430498456 26788123070 53576246140 107152492280