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101204021424 = 243111935571783
BaseRepresentation
bin101111001000000111…
…0101101000010110000
3100200020002012222010210
41132100032231002300
53124231212141144
6114254213224120
710211633663022
oct1362016550260
9320202188123
10101204021424
1139a14039230
1217745032040
13970b0b145c
144c80d1a012
152974cbbab9
hex17903ad0b0

101204021424 has 160 divisors (see below), whose sum is σ = 287364893184. Its totient is φ = 30437130240.

The previous prime is 101204021411. The next prime is 101204021437. The reversal of 101204021424 is 424120402101.

It is an interprime number because it is at equal distance from previous prime (101204021411) and next prime (101204021437).

It is a self number, because there is not a number n which added to its sum of digits gives 101204021424.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56759637 + ... + 56761419.

Almost surely, 2101204021424 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 101204021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143682446592).

101204021424 is an abundant number, since it is smaller than the sum of its proper divisors (186160871760).

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

101204021424 is a wasteful number, since it uses less digits than its factorization.

101204021424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 101204021424 its reverse (424120402101), we get a palindrome (525324423525).

The spelling of 101204021424 in words is "one hundred one billion, two hundred four million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 193 264 386 528 557 579 772 1114 1158 1544 1671 1783 2123 2228 2316 3088 3342 3566 4246 4456 4632 5349 6127 6369 6684 7132 8492 8912 9264 10698 12254 12738 13368 14264 16984 18381 19613 21396 24508 25476 26736 28528 33968 36762 39226 42792 49016 50952 58839 73524 78452 85584 98032 101904 107501 117678 147048 156904 215002 235356 294096 313808 322503 344119 430004 470712 645006 688238 860008 941424 993131 1032357 1182511 1290012 1376476 1720016 1986262 2064714 2365022 2580024 2752952 2979393 3547533 3785309 3972524 4129428 4730044 5160048 5505904 5958786 7095066 7570618 7945048 8258856 9460088 10924441 11355927 11917572 14190132 15141236 15890096 16517712 18920176 21848882 22711854 23835144 28380264 30282472 32773323 43697764 45423708 47670288 56760528 60564944 65546646 87395528 90847416 131093292 174791056 181694832 191674283 262186584 383348566 524373168 575022849 766697132 1150045698 1533394264 2108417113 2300091396 3066788528 4216834226 4600182792 6325251339 8433668452 9200365584 12650502678 16867336904 25301005356 33734673808 50602010712 101204021424