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102201352 = 23116179241
BaseRepresentation
bin1100001011101…
…11100000001000
321010022100220021
412011313200020
5202130420402
614050310224
72350461061
oct605674010
9233270807
10102201352
1152765430
122a288374
1318234796
14d805568
158e8bd37
hex6177808

102201352 has 64 divisors (see below), whose sum is σ = 216057600. Its totient is φ = 44928000.

The previous prime is 102201317. The next prime is 102201373. The reversal of 102201352 is 253102201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423952 + ... + 424192.

It is an arithmetic number, because the mean of its divisors is an integer number (3375900).

Almost surely, 2102201352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102201352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108028800).

102201352 is an abundant number, since it is smaller than the sum of its proper divisors (113856248).

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

102201352 is a wasteful number, since it uses less digits than its factorization.

102201352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102201352 is about 10109.4684331076. The cubic root of 102201352 is about 467.5401160920.

Adding to 102201352 its reverse (253102201), we get a palindrome (355303553).

The spelling of 102201352 in words is "one hundred two million, two hundred one thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 61 79 88 122 158 241 244 316 482 488 632 671 869 964 1342 1738 1928 2651 2684 3476 4819 5302 5368 6952 9638 10604 14701 19039 19276 21208 29402 38078 38552 53009 58804 76156 106018 117608 152312 161711 209429 212036 323422 418858 424072 646844 837716 1161379 1293688 1675432 2322758 4645516 9291032 12775169 25550338 51100676 102201352