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122622251130 = 23257518112237
BaseRepresentation
bin111001000110011011…
…0110001000001111010
3102201111202101202210200
41302030312301001322
54002112244014010
6132155404223030
711600456636301
oct1621466610172
9381452352720
10122622251130
1148005078215
121b921b3aa76
13b74254b262
145d136db438
1532ca2cdcc0
hex1c8cdb107a

122622251130 has 96 divisors (see below), whose sum is σ = 319778903808. Its totient is φ = 32600880000.

The previous prime is 122622251117. The next prime is 122622251131. The reversal of 122622251130 is 31152226221.

122622251130 is a `hidden beast` number, since 1 + 2 + 2 + 622 + 2 + 5 + 1 + 1 + 30 = 666.

122622251130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122622251094 and 122622251103.

It is not an unprimeable number, because it can be changed into a prime (122622251131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54814372 + ... + 54816608.

It is an arithmetic number, because the mean of its divisors is an integer number (3331030248).

Almost surely, 2122622251130 is an apocalyptic number.

122622251130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122622251130 is an abundant number, since it is smaller than the sum of its proper divisors (197156652678).

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

122622251130 is a wasteful number, since it uses less digits than its factorization.

122622251130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3812 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 122622251130 its reverse (31152226221), we get a palindrome (153774477351).

The spelling of 122622251130 in words is "one hundred twenty-two billion, six hundred twenty-two million, two hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 751 811 1502 1622 2237 2253 2433 3755 4055 4474 4506 4866 6711 6759 7299 7510 8110 11185 11265 12165 13422 13518 14598 20133 22370 22530 24330 33555 33795 36495 40266 67110 67590 72990 100665 201330 609061 1218122 1679987 1814207 1827183 3045305 3359974 3628414 3654366 5039961 5442621 5481549 6090610 8399935 9071035 9135915 10079922 10885242 10963098 15119883 16327863 16799870 18142070 18271830 25199805 27213105 27407745 30239766 32655726 50399610 54426210 54815490 75599415 81639315 151198830 163278630 1362469457 2724938914 4087408371 6812347285 8174816742 12262225113 13624694570 20437041855 24524450226 40874083710 61311125565 122622251130