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100220121111000 = 23353113036973367
BaseRepresentation
bin10110110010011001010000…
…101101111101100111011000
3111010211221122120000120002110
4112302121100231331213120
5101114001302001023000
6553052253230032320
730052444012542402
oct2662312055754730
9433757576016073
10100220121111000
1129a2a1296a7930
12b2a73b79486a0
1343bc941c65557
141aa6973303b72
15b8be4e434850
hex5b2650b7d9d8

100220121111000 has 128 divisors (see below), whose sum is σ = 341112848693760. Its totient is φ = 24295786928000.

The previous prime is 100220121110909. The next prime is 100220121111001. The reversal of 100220121111000 is 111121022001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100220121111001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1518453684 + ... + 1518519683.

It is an arithmetic number, because the mean of its divisors is an integer number (2664944130420).

Almost surely, 2100220121111000 is an apocalyptic number.

100220121111000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220121111000 is an abundant number, since it is smaller than the sum of its proper divisors (240892727582760).

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

100220121111000 is a wasteful number, since it uses less digits than its factorization.

100220121111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3036973402 (or 3036973388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100220121111000 its reverse (111121022001), we get a palindrome (100331242133001).

The spelling of 100220121111000 in words is "one hundred trillion, two hundred twenty billion, one hundred twenty-one million, one hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 3036973367 6073946734 9110920101 12147893468 15184866835 18221840202 24295786936 30369733670 33406707037 36443680404 45554600505 60739467340 66813414074 72887360808 75924334175 91109201010 100220121111 121478934680 133626828148 151848668350 167033535185 182218402020 200440242222 227773002525 267253656296 303697336700 334067070370 364436804040 379621670875 400880484444 455546005050 501100605555 607394673400 668134140740 759243341750 801760968888 835167675925 911092010100 1002201211110 1138865012625 1336268281480 1518486683500 1670335351850 1822184020200 2004402422220 2277730025250 2505503027775 3036973367000 3340670703700 4008804844440 4175838379625 4555460050500 5011006055550 6681341407400 8351676759250 9110920101000 10022012111100 12527515138875 16703353518500 20044024222200 25055030277750 33406707037000 50110060555500 100220121111000