Search a number
-
+
122787060008830 = 25719118178171971
BaseRepresentation
bin11011111010110010010111…
…000110000100011101111110
3121002202022212022212222001221
4123322302113012010131332
5112043220344330240310
61113051332513223554
734602033545321410
oct3372622706043576
9532668768788057
10122787060008830
113613a777360908
1211930b55b61bba
135368a01b199a9
142246cd549a9b0
15e2de8e8c8ada
hex6fac9718477e

122787060008830 has 64 divisors (see below), whose sum is σ = 266109900203520. Its totient is φ = 39848943427200.

The previous prime is 122787060008827. The next prime is 122787060008831. The reversal of 122787060008830 is 38800060787221.

It is a super-2 number, since 2×1227870600088302 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122787060008831) 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, 37515256 + ... + 40656715.

It is an arithmetic number, because the mean of its divisors is an integer number (4157967190680).

Almost surely, 2122787060008830 is an apocalyptic number.

122787060008830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122787060008830 is an abundant number, since it is smaller than the sum of its proper divisors (143322840194690).

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

122787060008830 is a wasteful number, since it uses less digits than its factorization.

122787060008830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78173185.

The product of its (nonzero) digits is 1806336, while the sum is 52.

The spelling of 122787060008830 in words is "one hundred twenty-two trillion, seven hundred eighty-seven billion, sixty million, eight thousand, eight hundred thirty".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 266 665 1181 1330 2362 5905 8267 11810 16534 22439 41335 44878 82670 112195 157073 224390 314146 785365 1570730 78171971 156343942 390859855 547203797 781719710 1094407594 1485267449 2736018985 2970534898 5472037970 7426337245 10396872143 14852674490 20793744286 51984360715 92321097751 103968721430 184642195502 461605488755 646247684257 923210977510 1292495368514 1754100857269 3231238421285 3508201714538 6462476842570 8770504286345 12278706000883 17541008572690 24557412001766 61393530004415 122787060008830