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10223134202034 = 23213187972324233
BaseRepresentation
bin1001010011000100001001…
…0010000101100010110010
31100012022200210121011111100
42110301002102011202302
52314443434323431114
633424235405225230
72103411536642415
oct224610222054262
940168623534440
1010223134202034
113291674816656
12119138ab62216
13592064293b30
14274b33873b7c
1512add9385909
hex94c424858b2

10223134202034 has 48 divisors (see below), whose sum is σ = 23855259099672. Its totient is φ = 3145411056384.

The previous prime is 10223134201963. The next prime is 10223134202107. The reversal of 10223134202034 is 43020243132201.

10223134202034 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 31 + 3 + 420 + 203 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9124719111225 + 1098415090809 = 3020715^2 + 1048053^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10223134201989 and 10223134202007.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3236382 + ... + 5560614.

Almost surely, 210223134202034 is an apocalyptic number.

10223134202034 is an abundant number, since it is smaller than the sum of its proper divisors (13632124897638).

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

10223134202034 is a wasteful number, since it uses less digits than its factorization.

10223134202034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343051 (or 2343048 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10223134202034 its reverse (43020243132201), we get a palindrome (53243377334235).

The spelling of 10223134202034 in words is "ten trillion, two hundred twenty-three billion, one hundred thirty-four million, two hundred two thousand, thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 18797 37594 56391 112782 169173 244361 338346 488722 733083 1466166 2199249 2324233 4398498 4648466 6972699 13945398 20918097 30215029 41836194 60430058 90645087 181290174 271935261 543870522 43688607701 87377215402 131065823103 262131646206 393197469309 567951900113 786394938618 1135903800226 1703855700339 3407711400678 5111567101017 10223134202034