Search a number
-
+
1002112021220 = 2257117931712437
BaseRepresentation
bin11101001010100101000…
…01111111001011100100
310112210121220120012221012
432211102201333023210
5112404311134134340
62044210334241352
7132254161431212
oct16452241771344
93483556505835
101002112021220
11356aa2124782
12142271356258
1373663a0523b
1436706b41cb2
151b101da5565
hexe95287f2e4

1002112021220 has 96 divisors (see below), whose sum is σ = 2152940186880. Its totient is φ = 391720071680.

The previous prime is 1002112021193. The next prime is 1002112021237. The reversal of 1002112021220 is 221202112001.

It is a junction number, because it is equal to n+sod(n) for n = 1002112021195 and 1002112021204.

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, 80568842 + ... + 80581278.

It is an arithmetic number, because the mean of its divisors is an integer number (22426460280).

Almost surely, 21002112021220 is an apocalyptic number.

1002112021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002112021220 is an abundant number, since it is smaller than the sum of its proper divisors (1150828165660).

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

1002112021220 is a wasteful number, since it uses less digits than its factorization.

1002112021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13013 (or 13011 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1002112021220 its reverse (221202112001), we get a palindrome (1223314133221).

The spelling of 1002112021220 in words is "one trillion, two billion, one hundred twelve million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 71 142 179 284 317 355 358 634 710 716 895 1268 1420 1585 1790 3170 3580 6340 12437 12709 22507 24874 25418 45014 49748 50836 56743 62185 63545 90028 112535 113486 124370 127090 225070 226972 248740 254180 283715 450140 567430 883027 1134860 1766054 2226223 3532108 3942529 4028753 4415135 4452446 7885058 8057506 8830270 8904892 11131115 15770116 16115012 17660540 19712645 20143765 22262230 39425290 40287530 44524460 78850580 80575060 158061833 279919559 316123666 559839118 632247332 705712691 790309165 1119678236 1399597795 1411425382 1580618330 2799195590 2822850764 3161236660 3528563455 5598391180 7057126910 14114253820 50105601061 100211202122 200422404244 250528005305 501056010610 1002112021220