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103022153421 = 31129611012173
BaseRepresentation
bin101111111110010011…
…0010100111011001101
3100211220210100122100220
41133330212110323031
53141442132402141
6115154442141553
710304661566265
oct1377446247315
9324823318326
10103022153421
113a767357760
1217b71ab18b9
13993a97c5c5
144db45927a5
152a2e707766
hex17fc994ecd

103022153421 has 96 divisors (see below), whose sum is σ = 160054220160. Its totient is φ = 58369920000.

The previous prime is 103022153411. The next prime is 103022153471. The reversal of 103022153421 is 124351220301.

It is not a de Polignac number, because 103022153421 - 230 = 101948411597 is a prime.

It is a super-2 number, since 2×1030221534212 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103022153391 and 103022153400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103022153411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 595503691 + ... + 595503863.

It is an arithmetic number, because the mean of its divisors is an integer number (1667231460).

Almost surely, 2103022153421 is an apocalyptic number.

103022153421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103022153421 is a deficient number, since it is larger than the sum of its proper divisors (57032066739).

103022153421 is a wasteful number, since it uses less digits than its factorization.

103022153421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 103022153421 its reverse (124351220301), we get a palindrome (227373373722).

The spelling of 103022153421 in words is "one hundred three billion, twenty-two million, one hundred fifty-three thousand, four hundred twenty-one".

Divisors: 1 3 11 29 33 61 87 101 173 183 303 319 519 671 957 1111 1769 1903 2013 2929 3333 5017 5307 5709 6161 8787 10201 10553 15051 17473 18483 19459 30603 31659 32219 52419 55187 58377 67771 96657 112211 116083 165561 178669 192203 203313 295829 306037 336633 348249 506717 536007 576609 622261 887487 918111 1065853 1520151 1764773 1866783 1965359 3197559 3254119 3366407 5294319 5573887 5896077 6844871 9762357 10099221 11724383 16721661 18045569 19412503 20534613 30909737 35173149 51178417 54136707 58237509 92729211 107651153 153535251 198501259 322953459 340007107 562962587 595503777 1020021321 1184162683 1688887761 3121883437 3552488049 9365650311 34340717807 103022153421