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1003301200220 = 2251117713778343
BaseRepresentation
bin11101001100110010110…
…10010110000101011100
310112220200210012202211212
432212121122112011130
5112414230101401340
62044524334403552
7132325511330324
oct16463132260534
93486623182755
101003301200220
1135755240a540
121425436605b8
13737c31ab257
14367baa56284
151b1714a4a65
hexe99969615c

1003301200220 has 96 divisors (see below), whose sum is σ = 2467953847296. Its totient is φ = 338539443200.

The previous prime is 1003301200211. The next prime is 1003301200267. The reversal of 1003301200220 is 220021033001.

It is a happy number.

1003301200220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10033012002202 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1003301200195 and 1003301200204.

It is a congruent number.

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, 1623632 + ... + 2154711.

It is an arithmetic number, because the mean of its divisors is an integer number (25707852576).

Almost surely, 21003301200220 is an apocalyptic number.

1003301200220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1003301200220 is an abundant number, since it is smaller than the sum of its proper divisors (1464652647076).

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

1003301200220 is a wasteful number, since it uses less digits than its factorization.

1003301200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778451 (or 3778449 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 1003301200220 its reverse (220021033001), we get a palindrome (1223322233221).

The spelling of 1003301200220 in words is "one trillion, three billion, three hundred one million, two hundred thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 71 85 110 142 170 187 220 284 340 355 374 710 748 781 935 1207 1420 1562 1870 2414 3124 3740 3905 4828 6035 7810 12070 13277 15620 24140 26554 53108 66385 132770 265540 3778343 7556686 15113372 18891715 37783430 41561773 64231831 75566860 83123546 128463662 166247092 207808865 256927324 268262353 321159155 415617730 536524706 642318310 706550141 831235460 1073049412 1284636620 1341311765 1413100282 2682623530 2826200564 2950885883 3532750705 4560460001 5365247060 5901771766 7065501410 9120920002 11803543532 14131002820 14754429415 18241840004 22802300005 29508858830 45604600010 50165060011 59017717660 91209200020 100330120022 200660240044 250825300055 501650600110 1003301200220