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10332220025331 = 3315121227119389
BaseRepresentation
bin1001011001011010100001…
…0011011110100111110011
31100120202021011211011012000
42112112220103132213303
52323240341311302311
633550320101105043
72114323021100601
oct226265023364763
940522234734160
1010332220025331
113323962931226
1211aa5536b8183
1359c42a272679
1427a12148a871
1512db710a1056
hex965a84de9f3

10332220025331 has 32 divisors (see below), whose sum is σ = 15409218393600. Its totient is φ = 6842150157600.

The previous prime is 10332220025273. The next prime is 10332220025399. The reversal of 10332220025331 is 13352002223301.

It is a happy number.

10332220025331 is a `hidden beast` number, since 1 + 0 + 3 + 322 + 2 + 0 + 0 + 2 + 5 + 331 = 666.

It is not a de Polignac number, because 10332220025331 - 238 = 10057342118387 is a prime.

It is a super-2 number, since 2×103322200253312 (a number of 27 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 = 10332220025295 and 10332220025304.

It is not an unprimeable number, because it can be changed into a prime (10332220025731) 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, 86482785 + ... + 86602173.

It is an arithmetic number, because the mean of its divisors is an integer number (481538074800).

Almost surely, 210332220025331 is an apocalyptic number.

10332220025331 is a deficient number, since it is larger than the sum of its proper divisors (5076998368269).

10332220025331 is a wasteful number, since it uses less digits than its factorization.

10332220025331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140776 (or 140770 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 10332220025331 its reverse (13352002223301), we get a palindrome (23684222248632).

The spelling of 10332220025331 in words is "ten trillion, three hundred thirty-two billion, two hundred twenty million, twenty-five thousand, three hundred thirty-one".

Divisors: 1 3 9 27 151 453 1359 4077 21227 63681 119389 191043 358167 573129 1074501 3205277 3223503 9615831 18027739 28847493 54083217 86542479 162249651 486748953 2534270303 7602810909 22808432727 68425298181 382674815753 1148024447259 3444073341777 10332220025331