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220321121020 = 2257111311005051
BaseRepresentation
bin1100110100110000101…
…0011000001011111100
3210001200120001120222021
43031030022120023330
512102204201333040
6245114130125524
721626522425540
oct3151412301374
9701616046867
10220321121020
118548a5901a0
12368491208a4
1317a123ab340
14a940cb7a20
155ae74c224a
hex334c2982fc

220321121020 has 96 divisors (see below), whose sum is σ = 621213175296. Its totient is φ = 63389088000.

The previous prime is 220321121017. The next prime is 220321121023. The reversal of 220321121020 is 20121123022.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (220321121017) and next prime (220321121023).

It is a junction number, because it is equal to n+sod(n) for n = 220321120985 and 220321121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220321121023) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5482506 + ... + 5522545.

It is an arithmetic number, because the mean of its divisors is an integer number (6470970576).

Almost surely, 2220321121020 is an apocalyptic number.

220321121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220321121020 is an abundant number, since it is smaller than the sum of its proper divisors (400892054276).

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

220321121020 is a wasteful number, since it uses less digits than its factorization.

220321121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005091 (or 11005089 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 220321121020 its reverse (20121123022), we get a palindrome (240442244042).

The spelling of 220321121020 in words is "two hundred twenty billion, three hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1820 2002 2860 4004 5005 10010 20020 11005051 22010102 44020204 55025255 77035357 110050510 121055561 143065663 154070714 220101020 242111122 286131326 308141428 385176785 484222244 572262652 605277805 715328315 770353570 847388927 1001459641 1210555610 1430656630 1540707140 1573722293 1694777854 2002919282 2421111220 2861313260 3147444586 3389555708 4005838564 4236944635 5007298205 6294889172 7868611465 8473889270 10014596410 11016056051 15737222930 16947778540 20029192820 22032112102 31474445860 44064224204 55080280255 110160560510 220321121020