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133120233222130 = 257111517871138987
BaseRepresentation
bin11110010001001001111000…
…001101101010111111110010
3122110100011120221022002100001
4132101021320031222333302
5114422020214201102010
61151042331344420214
740016422322404060
oct3621117015527762
9573304527262301
10133120233222130
1139463a79242290
1212b1b71491766a
1359382516b91bb
1424c30a738b030
15105cb694b0c3a
hex79127836aff2

133120233222130 has 64 divisors (see below), whose sum is σ = 298744779820032. Its totient is φ = 41491710959040.

The previous prime is 133120233222121. The next prime is 133120233222139. The reversal of 133120233222130 is 31222332021331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133120233222121) and next prime (133120233222139).

It is a super-2 number, since 2×1331202332221302 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133120233222139) 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, 116306497 + ... + 117445483.

It is an arithmetic number, because the mean of its divisors is an integer number (4667887184688).

Almost surely, 2133120233222130 is an apocalyptic number.

133120233222130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

133120233222130 is an abundant number, since it is smaller than the sum of its proper divisors (165624546597902).

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

133120233222130 is a wasteful number, since it uses less digits than its factorization.

133120233222130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290799.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 133120233222130 its reverse (31222332021331), we get a palindrome (164342565243461).

The spelling of 133120233222130 in words is "one hundred thirty-three trillion, one hundred twenty billion, two hundred thirty-three million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 154 385 770 151787 303574 758935 1062509 1138987 1517870 1669657 2125018 2277974 3339314 5312545 5694935 7972909 8348285 10625090 11389870 11687599 12528857 15945818 16696570 23375198 25057714 39864545 58437995 62644285 79729090 87701999 116875990 125288570 175403998 438509995 877019990 172883419769 345766839538 864417098845 1210183938383 1728834197690 1901717617459 2420367876766 3803435234918 6050919691915 9508588087295 12101839383830 13312023322213 19017176174590 26624046644426 66560116611065 133120233222130