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103002321220 = 225291736611553
BaseRepresentation
bin101111111101101101…
…0101011000101000100
3100211212102001001200221
41133323122223011010
53141422043234340
6115152453114124
710304331166411
oct1377332530504
9324772031627
10103002321220
113a757141507
1217b67328944
139936827686
144db1aad108
152a2cadb44a
hex17fb6ab144

103002321220 has 96 divisors (see below), whose sum is σ = 225542711520. Its totient is φ = 39465000960.

The previous prime is 103002321209. The next prime is 103002321283. The reversal of 103002321220 is 22123200301.

It can be written as a sum of positive squares in 16 ways, for example, as 8128464964 + 94873856256 = 90158^2 + 308016^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103002321194 and 103002321203.

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, 66323964 + ... + 66325516.

It is an arithmetic number, because the mean of its divisors is an integer number (2349403245).

Almost surely, 2103002321220 is an apocalyptic number.

103002321220 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 103002321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112771355760).

103002321220 is an abundant number, since it is smaller than the sum of its proper divisors (122540390300).

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

103002321220 is a wasteful number, since it uses less digits than its factorization.

103002321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103002321220 its reverse (22123200301), we get a palindrome (125125521521).

The spelling of 103002321220 in words is "one hundred three billion, two million, three hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 173 290 346 580 661 692 865 1322 1553 1730 2644 3106 3305 3460 5017 6212 6610 7765 10034 13220 15530 19169 20068 25085 31060 38338 45037 50170 76676 90074 95845 100340 114353 180148 191690 225185 228706 268669 383380 450370 457412 537338 571765 900740 1026533 1074676 1143530 1343345 2053066 2287060 2686690 3316237 4106132 5132665 5373380 6632474 7791401 10265330 13264948 15582802 16581185 20530660 29769457 31165604 33162370 38957005 59538914 66324740 77914010 119077828 148847285 155828020 177590209 297694570 355180418 595389140 710360836 887951045 1775902090 3551804180 5150116061 10300232122 20600464244 25750580305 51501160610 103002321220