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1023020101220 = 2251327116326153
BaseRepresentation
bin11101110001100001011…
…11111110111001100100
310121210121000210201202112
432320300233332321210
5113230121121214340
62101545143100152
7133624251245525
oct16706057767144
93553530721675
101023020101220
113649511a4737
12146327441658
1375616575200
143772b88884c
151b9276e7065
hexee30bfee64

1023020101220 has 144 divisors (see below), whose sum is σ = 2373639956352. Its totient is φ = 370111472640.

The previous prime is 1023020101219. The next prime is 1023020101241. The reversal of 1023020101220 is 221010203201.

It is a happy number.

It is a super-3 number, since 3×10230201012203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1023020101195 and 1023020101204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39103664 + ... + 39129816.

It is an arithmetic number, because the mean of its divisors is an integer number (16483610808).

Almost surely, 21023020101220 is an apocalyptic number.

1023020101220 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 1023020101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186819978176).

1023020101220 is an abundant number, since it is smaller than the sum of its proper divisors (1350619855132).

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

1023020101220 is a wasteful number, since it uses less digits than its factorization.

1023020101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26422 (or 26407 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 1023020101220 its reverse (221010203201), we get a palindrome (1244030304421).

The spelling of 1023020101220 in words is "one trillion, twenty-three billion, twenty million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 163 169 260 284 326 338 355 652 676 710 815 845 923 1420 1630 1690 1846 2119 3260 3380 3692 4238 4615 8476 9230 10595 11573 11999 18460 21190 23146 23998 26153 27547 42380 46292 47996 52306 55094 57865 59995 104612 110188 115730 119990 130765 137735 150449 231460 239980 261530 275470 300898 339989 523060 550940 601796 679978 752245 1359956 1504490 1699945 1856863 1955837 3008980 3399890 3713726 3911674 4262939 4419857 6799780 7427452 7823348 8525878 8839714 9284315 9779185 17051756 17679428 18568630 19558370 21314695 22099285 24139219 37137260 39116740 42629390 44198570 48278438 55418207 85258780 88397140 96556876 110836414 120696095 221672828 241392190 277091035 302668669 313809847 482784380 554182070 605337338 627619694 720436691 1108364140 1210674676 1255239388 1440873382 1513343345 1569049235 2881746764 3026686690 3138098470 3602183455 3934692697 6053373380 6276196940 7204366910 7869385394 14408733820 15738770788 19673463485 39346926970 51151005061 78693853940 102302010122 204604020244 255755025305 511510050610 1023020101220