Search a number
-
+
100121022221000 = 23531144832030317
BaseRepresentation
bin10110110000111100111101…
…111101101100101011001000
3111010111110212011222100101012
4112300330331331230223020
5101110340323142033000
6552534543532543052
730042335160064634
oct2660747575545310
9433443764870335
10100121022221000
11299a10a5992040
12b29015b921a88
1343b34ab04a7c1
141aa1c51c0bdc4
15b8959e395735
hex5b0f3df6cac8

100121022221000 has 128 divisors (see below), whose sum is σ = 255638801208960. Its totient is φ = 36399505248000.

The previous prime is 100121022220997. The next prime is 100121022221071. The reversal of 100121022221000 is 122220121001.

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, 48297842 + ... + 50328158.

It is an arithmetic number, because the mean of its divisors is an integer number (1997178134445).

Almost surely, 2100121022221000 is an apocalyptic number.

100121022221000 is a gapful number since it is divisible by the number (10) 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 100121022221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127819400604480).

100121022221000 is an abundant number, since it is smaller than the sum of its proper divisors (155517778987960).

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

100121022221000 is a wasteful number, since it uses less digits than its factorization.

100121022221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2034832 (or 2034818 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100121022221000 its reverse (122220121001), we get a palindrome (100243242342001).

The spelling of 100121022221000 in words is "one hundred trillion, one hundred twenty-one billion, twenty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 4483 5500 8966 11000 17932 22415 35864 44830 49313 89660 98626 112075 179320 197252 224150 246565 394504 448300 493130 560375 896600 986260 1120750 1232825 1972520 2030317 2241500 2465650 4060634 4483000 4931300 6164125 8121268 9862600 10151585 12328250 16242536 20303170 22333487 24656500 40606340 44666974 49313000 50757925 81212680 89333948 101515850 111667435 178667896 203031700 223334870 253789625 406063400 446669740 507579250 558337175 893339480 1015158500 1116674350 2030317000 2233348700 2791685875 4466697400 5583371750 9101911111 11166743500 18203822222 22333487000 36407644444 45509555555 72815288888 91019111110 100121022221 182038222220 200242044442 227547777775 364076444440 400484088884 455095555550 500605111105 800968177768 910191111100 1001210222210 1137738888875 1820382222200 2002420444420 2275477777750 2503025555525 4004840888840 4550955555500 5006051111050 9101911111000 10012102222100 12515127777625 20024204444200 25030255555250 50060511110500 100121022221000