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1022210110020 = 2235114336018679
BaseRepresentation
bin11101110000000000111…
…10000111001001000100
310121201111120122220201110
432320000132013021010
5113221441242010040
62101332530125020
7133565214400251
oct16700036071104
93551446586643
101022210110020
11364575a5a320
12146140120770
1375517804788
143769207c428
151b8cb549980
hexee00787244

1022210110020 has 96 divisors (see below), whose sum is σ = 3195000990720. Its totient is φ = 242045516160.

The previous prime is 1022210109997. The next prime is 1022210110037. The reversal of 1022210110020 is 200110122201.

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 = 1022210109978 and 1022210110005.

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, 17980960 + ... + 18037719.

It is an arithmetic number, because the mean of its divisors is an integer number (33281260320).

Almost surely, 21022210110020 is an apocalyptic number.

1022210110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022210110020 is an abundant number, since it is smaller than the sum of its proper divisors (2172790880700).

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

1022210110020 is a wasteful number, since it uses less digits than its factorization.

1022210110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36018745 (or 36018743 counting only the distinct ones).

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

Adding to 1022210110020 its reverse (200110122201), we get a palindrome (1222320232221).

It can be divided in two parts, 102 and 2210110020, that added together give a palindrome (2210110122).

The spelling of 1022210110020 in words is "one trillion, twenty-two billion, two hundred ten million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1892 2365 2580 2838 4730 5676 7095 9460 14190 28380 36018679 72037358 108056037 144074716 180093395 216112074 360186790 396205469 432224148 540280185 720373580 792410938 1080560370 1188616407 1548803197 1584821876 1981027345 2161120740 2377232814 3097606394 3962054690 4646409591 4754465628 5943082035 6195212788 7744015985 7924109380 9292819182 11886164070 15488031970 17036835167 18585638364 23232047955 23772328140 30976063940 34073670334 46464095910 51110505501 68147340668 85184175835 92928191820 102221011002 170368351670 204442022004 255552527505 340736703340 511105055010 1022210110020