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10021203212220 = 22325372311651097
BaseRepresentation
bin1001000111010011111001…
…0000011111011110111100
31022111000110212211000221200
42101310332100133132330
52303141411010242340
633151402135255500
72053002520565454
oct221647620373674
938430425730850
1010021203212220
113213a71a63202
12115a21481a590
13578cc2bb0745
1426905913cd64
15125a1b631330
hex91d3e41f7bc

10021203212220 has 144 divisors (see below), whose sum is σ = 31232764774848. Its totient is φ = 2598966881280.

The previous prime is 10021203212213. The next prime is 10021203212233. The reversal of 10021203212220 is 2221230212001.

10021203212220 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 120 + 321 + 2 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10021203212193 and 10021203212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15065712 + ... + 15716808.

Almost surely, 210021203212220 is an apocalyptic number.

10021203212220 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 10021203212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15616382387424).

10021203212220 is an abundant number, since it is smaller than the sum of its proper divisors (21211561562628).

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

10021203212220 is a wasteful number, since it uses less digits than its factorization.

10021203212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653460 (or 653455 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10021203212220 its reverse (2221230212001), we get a palindrome (12242433424221).

The spelling of 10021203212220 in words is "ten trillion, twenty-one billion, two hundred three million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 2311 3330 4622 6660 6933 9244 11555 13866 20799 23110 27732 34665 41598 46220 69330 83196 85507 103995 138660 171014 207990 256521 342028 415980 427535 513042 651097 769563 855070 1026084 1282605 1302194 1539126 1710140 1953291 2565210 2604388 3078252 3255485 3847815 3906582 5130420 5859873 6510970 7695630 7813164 9766455 11719746 13021940 15391260 19532910 23439492 24090589 29299365 39065820 48181178 58598730 72271767 96362356 117197460 120452945 144543534 216815301 240905890 289087068 361358835 433630602 481811780 722717670 867261204 1084076505 1445435340 1504685167 2168153010 3009370334 4336306020 4514055501 6018740668 7523425835 9028111002 13542166503 15046851670 18056222004 22570277505 27084333006 30093703340 45140555010 54168666012 55673351179 67710832515 90281110020 111346702358 135421665030 167020053537 222693404716 270843330060 278366755895 334040107074 501060160611 556733511790 668080214148 835100267685 1002120321222 1113467023580 1670200535370 2004240642444 2505300803055 3340401070740 5010601606110 10021203212220