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20122556100 = 22352197944687
BaseRepresentation
bin10010101111011001…
…011101011011000100
31220221101010202121120
4102233121131123010
5312202333243400
613124424113540
71311440622213
oct225731353304
956841122546
1020122556100
118596727259
123a970058b0
131b88bb813a
14d8c6a907a
157cb8c8ca0
hex4af65d6c4

20122556100 has 144 divisors (see below), whose sum is σ = 62062694400. Its totient is φ = 5019131520.

The previous prime is 20122556087. The next prime is 20122556137. The reversal of 20122556100 is 165522102.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427957 + ... + 472643.

Almost surely, 220122556100 is an apocalyptic number.

20122556100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20122556100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31031347200).

20122556100 is an abundant number, since it is smaller than the sum of its proper divisors (41940138300).

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

20122556100 is a wasteful number, since it uses less digits than its factorization.

20122556100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44802 (or 44795 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 20122556100 in words is "twenty billion, one hundred twenty-two million, five hundred fifty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 79 95 100 114 150 158 190 228 237 285 300 316 380 395 474 475 570 790 948 950 1140 1185 1425 1501 1580 1900 1975 2370 2850 3002 3950 4503 4740 5700 5925 6004 7505 7900 9006 11850 15010 18012 22515 23700 30020 37525 44687 45030 75050 89374 90060 112575 134061 150100 178748 223435 225150 268122 446870 450300 536244 670305 849053 893740 1117175 1340610 1698106 2234350 2547159 2681220 3351525 3396212 3530273 4245265 4468700 5094318 6703050 7060546 8490530 10188636 10590819 12735795 13406100 14121092 16981060 17651365 21181638 21226325 25471590 35302730 42363276 42452650 50943180 52954095 63678975 67075187 70605460 84905300 88256825 105908190 127357950 134150374 176513650 201225561 211816380 254715900 264770475 268300748 335375935 353027300 402451122 529540950 670751870 804902244 1006127805 1059081900 1341503740 1676879675 2012255610 3353759350 4024511220 5030639025 6707518700 10061278050 20122556100