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101021201000220 = 223543919993191831
BaseRepresentation
bin10110111110000011010100…
…110011001110011100011100
3111020200112101012011100121010
4112332003110303032130130
5101220112404424001340
6554504255444135220
730164353351340454
oct2676032463163434
9436615335140533
10101021201000220
112a20893a390356
12b3b6703997510
13444a348870c17
141ad3648c50d64
15ba2bd7438b80
hex5be0d4cce71c

101021201000220 has 96 divisors (see below), whose sum is σ = 283519347471360. Its totient is φ = 26876138042880.

The previous prime is 101021201000183. The next prime is 101021201000221. The reversal of 101021201000220 is 22000102120101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101021201000196 and 101021201000205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021201000221) 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, 526519705 + ... + 526711535.

It is an arithmetic number, because the mean of its divisors is an integer number (2953326536160).

Almost surely, 2101021201000220 is an apocalyptic number.

101021201000220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021201000220 is an abundant number, since it is smaller than the sum of its proper divisors (182498146471140).

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

101021201000220 is a wasteful number, since it uses less digits than its factorization.

101021201000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212275 (or 212273 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101021201000220 its reverse (22000102120101), we get a palindrome (123021303120321).

The spelling of 101021201000220 in words is "one hundred one trillion, twenty-one billion, two hundred one million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 439 878 1317 1756 2195 2634 4390 5268 6585 8780 13170 19993 26340 39986 59979 79972 99965 119958 191831 199930 239916 299895 383662 399860 575493 599790 767324 959155 1150986 1199580 1918310 2301972 2877465 3836620 5754930 8776927 11509860 17553854 26330781 35107708 43884635 52661562 84213809 87769270 105323124 131653905 168427618 175538540 252641427 263307810 336855236 421069045 505282854 526615620 842138090 1010565708 1263207135 1684276180 2526414270 3835277183 5052828540 7670554366 11505831549 15341108732 19176385915 23011663098 38352771830 46023326196 57529157745 76705543660 115058315490 230116630980 1683686683337 3367373366674 5051060050011 6734746733348 8418433416685 10102120100022 16836866833370 20204240200044 25255300250055 33673733666740 50510600500110 101021201000220