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102214035 = 3357119833
BaseRepresentation
bin1100001011110…
…10100110010011
321010100000022000
412011322212103
5202131322120
614050445043
72350543050
oct605724623
9233300260
10102214035
1152773a10
122a293783
131823a4a1
14d80a027
158e90990
hex617a993

102214035 has 64 divisors (see below), whose sum is σ = 226575360. Its totient is φ = 42474240.

The previous prime is 102214003. The next prime is 102214043. The reversal of 102214035 is 530412201.

It is not a de Polignac number, because 102214035 - 25 = 102214003 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102213999 and 102214017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5479 + ... + 15311.

It is an arithmetic number, because the mean of its divisors is an integer number (3540240).

Almost surely, 2102214035 is an apocalyptic number.

102214035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102214035 is an abundant number, since it is smaller than the sum of its proper divisors (124361325).

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

102214035 is a wasteful number, since it uses less digits than its factorization.

102214035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9865 (or 9859 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102214035 is about 10110.0956968765. The cubic root of 102214035 is about 467.5594555818.

Adding to 102214035 its reverse (530412201), we get a palindrome (632626236).

The spelling of 102214035 in words is "one hundred two million, two hundred fourteen thousand, thirty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 45 55 63 77 99 105 135 165 189 231 297 315 385 495 693 945 1155 1485 2079 3465 9833 10395 29499 49165 68831 88497 108163 147495 206493 265491 324489 344155 442485 540815 619479 757141 973467 1032465 1327455 1622445 1858437 2271423 2920401 3097395 3785705 4867335 6814269 9292185 11357115 14602005 20442807 34071345 102214035