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103221302123331 = 3474332717129403
BaseRepresentation
bin10111011110000100010101…
…000010111101101101000011
3111112110212020000120110220000
4113132010111002331231003
5102012134211320421311
61003311113410451043
730512331043333230
oct2736042502755503
9445425200513800
10103221302123331
112a9869aa090657
12b6b0b91293a83
13457995b36c202
141b6bd1adc6787
15be00526b3056
hex5de1150bdb43

103221302123331 has 80 divisors (see below), whose sum is σ = 180327716346624. Its totient is φ = 57609683441856.

The previous prime is 103221302123263. The next prime is 103221302123339. The reversal of 103221302123331 is 133321203122301.

103221302123331 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 2 + 1 + 302 + 1 + 23 + 331 = 666.

It is not a de Polignac number, because 103221302123331 - 219 = 103221301599043 is a prime.

It is a super-2 number, since 2×1032213021233312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 103221302123295 and 103221302123304.

It is not an unprimeable number, because it can be changed into a prime (103221302123339) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 797608476 + ... + 797737878.

Almost surely, 2103221302123331 is an apocalyptic number.

103221302123331 is a deficient number, since it is larger than the sum of its proper divisors (77106414223293).

103221302123331 is a wasteful number, since it uses less digits than its factorization.

103221302123331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162182 (or 162173 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103221302123331 its reverse (133321203122301), we get a palindrome (236542505245632).

The spelling of 103221302123331 in words is "one hundred three trillion, two hundred twenty-one billion, three hundred two million, one hundred twenty-three thousand, three hundred thirty-one".

Divisors: 1 3 7 9 21 27 43 63 81 129 189 301 387 567 903 1161 2709 3483 8127 24381 32717 98151 129403 229019 294453 388209 687057 883359 905821 1164627 1406831 2061171 2650077 2717463 3493881 4220493 5564329 6183513 8152389 9847817 10481643 12661479 16692987 18550539 24457167 29543451 37984437 38950303 50078961 73371501 88630353 113953311 116850909 150236883 265891059 350552727 450710649 797673177 1051658181 3154974543 4233677951 12701033853 29635745657 38103101559 88907236971 114309304677 182048151893 266721710913 342927914031 546144455679 800165132739 1274337063251 1638433367037 2400495398217 3823011189753 4915300101111 11469033569259 14745900303333 34407100707777 103221302123331