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1002000221220 = 2235371094140839
BaseRepresentation
bin11101001010010111101…
…11100000010000100100
310112210100010012012011110
432211023313200100210
5112404044024034340
62044151302105020
7132251333231535
oct16451367402044
93483303165143
101002000221220
11356a45003789
1214223ba1b170
13736467bc7ab
14366d5d5c68c
151b0e716e680
hexe94bde0424

1002000221220 has 96 divisors (see below), whose sum is σ = 2907863481600. Its totient is φ = 257593250304.

The previous prime is 1002000221107. The next prime is 1002000221237. The reversal of 1002000221220 is 221220002001.

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 = 1002000221196 and 1002000221205.

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, 1828440 + ... + 2312399.

It is an arithmetic number, because the mean of its divisors is an integer number (30290244600).

Almost surely, 21002000221220 is an apocalyptic number.

1002000221220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002000221220 is an abundant number, since it is smaller than the sum of its proper divisors (1905863260380).

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

1002000221220 is a wasteful number, since it uses less digits than its factorization.

1002000221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4140997 (or 4140995 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 1002000221220 its reverse (221220002001), we get a palindrome (1223220223221).

The spelling of 1002000221220 in words is "one trillion, two billion, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 109 111 148 185 218 222 327 370 436 444 545 555 654 740 1090 1110 1308 1635 2180 2220 3270 4033 6540 8066 12099 16132 20165 24198 40330 48396 60495 80660 120990 241980 4140839 8281678 12422517 16563356 20704195 24845034 41408390 49690068 62112585 82816780 124225170 153211043 248450340 306422086 451351451 459633129 612844172 766055215 902702902 919266258 1354054353 1532110430 1805405804 1838532516 2256757255 2298165645 2708108706 3064220860 4513514510 4596331290 5416217412 6770271765 9027029020 9192662580 13540543530 16700003687 27081087060 33400007374 50100011061 66800014748 83500018435 100200022122 167000036870 200400044244 250500055305 334000073740 501000110610 1002000221220