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100122210220020 = 223519126613693661
BaseRepresentation
bin10110110000111110000100…
…110001100011011111110100
3111010111120220222101221122220
4112300332010301203133310
5101110400241304020040
6552535301451522340
730042406463650632
oct2660760461433764
9433446828357586
10100122210220020
11299a165554130a
12b2904317593b0
1343b363a1cc6c1
141aa1d258d6352
15b8961d8102d0
hex5b0f84c637f4

100122210220020 has 96 divisors (see below), whose sum is σ = 295099796772480. Its totient is φ = 25293795816960.

The previous prime is 100122210219937. The next prime is 100122210220093. The reversal of 100122210220020 is 20022012221001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 143991990 + ... + 144685650.

It is an arithmetic number, because the mean of its divisors is an integer number (3073956216380).

Almost surely, 2100122210220020 is an apocalyptic number.

100122210220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122210220020 is an abundant number, since it is smaller than the sum of its proper divisors (194977586552460).

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

100122210220020 is a wasteful number, since it uses less digits than its factorization.

100122210220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820305 (or 820303 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100122210220020 its reverse (20022012221001), we get a palindrome (120144222441021).

The spelling of 100122210220020 in words is "one hundred trillion, one hundred twenty-two billion, two hundred ten million, two hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 126613 253226 379839 506452 633065 693661 759678 1266130 1387322 1519356 1899195 2080983 2405647 2532260 2774644 3468305 3798390 4161966 4811294 6936610 7216941 7596780 8323932 9622588 10404915 12028235 13179559 13873220 14433882 20809830 24056470 26359118 28867764 36084705 39538677 41619660 48112940 52718236 65897795 72169410 79077354 131795590 144338820 158154708 197693385 263591180 395386770 790773540 87826500193 175653000386 263479500579 351306000772 439132500965 526959001158 878265001930 1053918002316 1317397502895 1668703503667 1756530003860 2634795005790 3337407007334 5006110511001 5269590011580 6674814014668 8343517518335 10012221022002 16687035036670 20024442044004 25030552555005 33374070073340 50061105110010 100122210220020