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1020122012220 = 223573241966409
BaseRepresentation
bin11101101100001000000…
…00101001101000111100
310121112010001112120000220
432312010000221220330
5113203202213342340
62100345415021340
7133462401014463
oct16660400515074
93545101476026
101020122012220
113636a4310563
1214585896a850
137527402324c
1437534a0d9da
151b808083ed0
hexed84029a3c

1020122012220 has 96 divisors (see below), whose sum is σ = 2907487007040. Its totient is φ = 267192483840.

The previous prime is 1020122012197. The next prime is 1020122012269. The reversal of 1020122012220 is 222102210201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1020122012220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 572376 + ... + 1538784.

It is an arithmetic number, because the mean of its divisors is an integer number (30286322990).

Almost surely, 21020122012220 is an apocalyptic number.

1020122012220 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 1020122012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453743503520).

1020122012220 is an abundant number, since it is smaller than the sum of its proper divisors (1887364994820).

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

1020122012220 is a wasteful number, since it uses less digits than its factorization.

1020122012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966735 (or 966733 counting only the distinct ones).

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

Adding to 1020122012220 its reverse (222102210201), we get a palindrome (1242224222421).

The spelling of 1020122012220 in words is "one trillion, twenty billion, one hundred twenty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 241 292 365 438 482 723 730 876 964 1095 1205 1446 1460 2190 2410 2892 3615 4380 4820 7230 14460 17593 35186 52779 70372 87965 105558 175930 211116 263895 351860 527790 966409 1055580 1932818 2899227 3865636 4832045 5798454 9664090 11596908 14496135 19328180 28992270 57984540 70547857 141095714 211643571 232904569 282191428 352739285 423287142 465809138 698713707 705478570 846574284 931618276 1058217855 1164522845 1397427414 1410957140 2116435710 2329045690 2794854828 3493568535 4232871420 4658091380 6987137070 13974274140 17002033537 34004067074 51006100611 68008134148 85010167685 102012201222 170020335370 204024402444 255030503055 340040670740 510061006110 1020122012220