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10132201001322 = 2323797156840361
BaseRepresentation
bin1001001101110001011000…
…1111011101000101101010
31022212121222111201221122200
42103130112033131011222
52312001221424020242
633314400251201030
72064012246331161
oct223342617350552
938777874657580
1010132201001322
113257051357004
121177831746176
135866020223aa
14270588a563d8
1512886612004c
hex937163dd16a

10132201001322 has 48 divisors (see below), whose sum is σ = 22778866815432. Its totient is φ = 3252241704960.

The previous prime is 10132201001303. The next prime is 10132201001341. The reversal of 10132201001322 is 22310010223101.

10132201001322 is a `hidden beast` number, since 10 + 1 + 322 + 0 + 10 + 0 + 1 + 322 = 666.

It is an interprime number because it is at equal distance from previous prime (10132201001303) and next prime (10132201001341).

It can be written as a sum of positive squares in 4 ways, for example, as 7585722299961 + 2546478701361 = 2754219^2 + 1595769^2 .

It is a super-2 number, since 2×101322010013222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10132201001295 and 10132201001304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78355579 + ... + 78484782.

Almost surely, 210132201001322 is an apocalyptic number.

10132201001322 is an abundant number, since it is smaller than the sum of its proper divisors (12646665814110).

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

10132201001322 is a wasteful number, since it uses less digits than its factorization.

10132201001322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156840503 (or 156840500 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10132201001322 its reverse (22310010223101), we get a palindrome (32442211224423).

The spelling of 10132201001322 in words is "ten trillion, one hundred thirty-two billion, two hundred one million, one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 97 111 194 222 291 333 582 666 873 1746 3589 7178 10767 21534 32301 64602 156840361 313680722 470521083 941042166 1411563249 2823126498 5803093357 11606186714 15213515017 17409280071 30427030034 34818560142 45640545051 52227840213 91281090102 104455680426 136921635153 273843270306 562900055629 1125800111258 1688700166887 3377400333774 5066100500661 10132201001322