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1002112010220 = 2235192114166093
BaseRepresentation
bin11101001010100101000…
…01111100011111101100
310112210121220112122211210
432211102201330133230
5112404311133311340
62044210334114420
7132254161354146
oct16452241743754
93483556478753
101002112010220
11356aa2117492
1214227134ba10
1373663a00229
1436706b3bc96
151b101da2180
hexe95287c7ec

1002112010220 has 96 divisors (see below), whose sum is σ = 2967592078080. Its totient is φ = 251965244160.

The previous prime is 1002112010197. The next prime is 1002112010257. The reversal of 1002112010220 is 220102112001.

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 = 1002112010196 and 1002112010205.

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, 1842507 + ... + 2323586.

It is an arithmetic number, because the mean of its divisors is an integer number (30912417480).

Almost surely, 21002112010220 is an apocalyptic number.

1002112010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002112010220 is an abundant number, since it is smaller than the sum of its proper divisors (1965480067860).

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

1002112010220 is a wasteful number, since it uses less digits than its factorization.

1002112010220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166335 (or 4166333 counting only the distinct ones).

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

Adding to 1002112010220 its reverse (220102112001), we get a palindrome (1222214122221).

The spelling of 1002112010220 in words is "one trillion, two billion, one hundred twelve million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 211 228 285 380 422 570 633 844 1055 1140 1266 2110 2532 3165 4009 4220 6330 8018 12027 12660 16036 20045 24054 40090 48108 60135 80180 120270 240540 4166093 8332186 12498279 16664372 20830465 24996558 41660930 49993116 62491395 79155767 83321860 124982790 158311534 237467301 249965580 316623068 395778835 474934602 791557670 879045623 949869204 1187336505 1583115340 1758091246 2374673010 2637136869 3516182492 4395228115 4749346020 5274273738 8790456230 10548547476 13185684345 16701866837 17580912460 26371368690 33403733674 50105600511 52742737380 66807467348 83509334185 100211201022 167018668370 200422402044 250528002555 334037336740 501056005110 1002112010220