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10103241420 = 2232559951341
BaseRepresentation
bin10010110100011001…
…10011101011001100
3222002010000211201200
421122030303223030
5131142412211140
64350311305500
7505240064226
oct113214635314
928063024650
1010103241420
11431501a8a8
121b5b67b290
13c501c747c
146bbb59416
153e1ea3030
hex25a333acc

10103241420 has 72 divisors (see below), whose sum is σ = 31165963920. Its totient is φ = 2648530560.

The previous prime is 10103241409. The next prime is 10103241461. The reversal of 10103241420 is 2414230101.

10103241420 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 3 + 241 + 420 = 666.

10103241420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10103241393 and 10103241402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465051 + ... + 486290.

It is an arithmetic number, because the mean of its divisors is an integer number (432860610).

Almost surely, 210103241420 is an apocalyptic number.

10103241420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10103241420 is an abundant number, since it is smaller than the sum of its proper divisors (21062722500).

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

10103241420 is a wasteful number, since it uses less digits than its factorization.

10103241420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951415 (or 951410 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10103241420 its reverse (2414230101), we get a palindrome (12517471521).

The spelling of 10103241420 in words is "ten billion, one hundred three million, two hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 531 590 708 885 1062 1180 1770 2124 2655 3540 5310 10620 951341 1902682 2854023 3805364 4756705 5708046 8562069 9513410 11416092 14270115 17124138 19026820 28540230 34248276 42810345 56129119 57080460 85620690 112258238 168387357 171241380 224516476 280645595 336774714 505162071 561291190 673549428 841936785 1010324142 1122582380 1683873570 2020648284 2525810355 3367747140 5051620710 10103241420