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10200111220120 = 2351743449377641
BaseRepresentation
bin1001010001101110011000…
…0000011000010110011000
31100010010021021210111122111
42110123212000120112120
52314104311433020440
633405511051002104
72101635156554233
oct224334600302630
940103237714574
1010200111220120
11328292a95a578
121188a24739334
1358cb35519203
1427398bcc241a
1512a4dd0364ea
hex946e6018598

10200111220120 has 128 divisors (see below), whose sum is σ = 24871241989440. Its totient is φ = 3749855477760.

The previous prime is 10200111220111. The next prime is 10200111220177. The reversal of 10200111220120 is 2102211100201.

It is a self number, because there is not a number n which added to its sum of digits gives 10200111220120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131336500 + ... + 131414140.

Almost surely, 210200111220120 is an apocalyptic number.

10200111220120 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 10200111220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12435620994720).

10200111220120 is an abundant number, since it is smaller than the sum of its proper divisors (14671130769320).

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

10200111220120 is a wasteful number, since it uses less digits than its factorization.

10200111220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82205 (or 82201 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10200111220120 its reverse (2102211100201), we get a palindrome (12302322320321).

The spelling of 10200111220120 in words is "ten trillion, two hundred billion, one hundred eleven million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 43 68 85 86 136 170 172 215 340 344 430 680 731 860 1462 1720 2924 3655 4493 5848 7310 8986 14620 17972 22465 29240 35944 44930 76381 77641 89860 152762 155282 179720 193199 305524 310564 381905 386398 388205 611048 621128 763810 772796 776410 965995 1319897 1527620 1545592 1552820 1931990 2639794 3055240 3105640 3284383 3338563 3863980 5279588 6568766 6599485 6677126 7727960 10559176 13137532 13198970 13354252 16421915 16692815 26275064 26397940 26708504 32843830 33385630 52795880 56755571 65687660 66771260 113511142 131375320 133542520 227022284 283777855 348841013 454044568 567555710 697682026 1135111420 1395364052 1744205065 2270222840 2790728104 3488410130 5930297221 6976820260 11860594442 13953640520 15000163559 23721188884 29651486105 30000327118 47442377768 59302972210 60000654236 75000817795 118605944420 120001308472 150001635590 237211888840 255002780503 300003271180 510005561006 600006542360 1020011122012 1275013902515 2040022244024 2550027805030 5100055610060 10200111220120