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1030213331220 = 2235412213189239
BaseRepresentation
bin11101111110111010111…
…11111110100100010100
310122111011100010200021110
432333131133332210110
5113334334103044340
62105135023015020
7134300434554543
oct16773537764424
93574140120243
101030213331220
11367a02627917
121477b443a470
13761c1904b18
1437c10d4415a
151bbe8e7e680
hexefdd7fe914

1030213331220 has 96 divisors (see below), whose sum is σ = 2956304252160. Its totient is φ = 267900451840.

The previous prime is 1030213331197. The next prime is 1030213331237. The reversal of 1030213331220 is 221333120301.

It is a super-2 number, since 2×10302133312202 (a number of 25 digits) contains 22 as substring.

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, 5349361 + ... + 5538599.

It is an arithmetic number, because the mean of its divisors is an integer number (30794835960).

Almost surely, 21030213331220 is an apocalyptic number.

1030213331220 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 1030213331220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478152126080).

1030213331220 is an abundant number, since it is smaller than the sum of its proper divisors (1926090920940).

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

1030213331220 is a wasteful number, since it uses less digits than its factorization.

1030213331220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191505 (or 191503 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1030213331220 its reverse (221333120301), we get a palindrome (1251546451521).

The spelling of 1030213331220 in words is "one trillion, thirty billion, two hundred thirteen million, three hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 615 820 1230 2213 2460 4426 6639 8852 11065 13278 22130 26556 33195 44260 66390 90733 132780 181466 189239 272199 362932 378478 453665 544398 567717 756956 907330 946195 1088796 1135434 1360995 1814660 1892390 2270868 2721990 2838585 3784780 5443980 5677170 7758799 11354340 15517598 23276397 31035196 38793995 46552794 77587990 93105588 116381985 155175980 232763970 418785907 465527940 837571814 1256357721 1675143628 2093929535 2512715442 4187859070 5025430884 6281788605 8375718140 12563577210 17170222187 25127154420 34340444374 51510666561 68680888748 85851110935 103021333122 171702221870 206042666244 257553332805 343404443740 515106665610 1030213331220