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2200011210120 = 2335891223168433
BaseRepresentation
bin100000000000111010111…
…000101111110110001000
321210022121120020001212010
4200000322320233312020
5242021110332210440
64402400551215520
7314642220511443
oct40007270576610
97708546201763
102200011210120
11779023a79349
122b64633775a0
1312c5c9ca9b49
14786a424c65a
153c362418580
hex2003ae2fd88

2200011210120 has 128 divisors (see below), whose sum is σ = 6679688198400. Its totient is φ = 579600113664.

The previous prime is 2200011210079. The next prime is 2200011210139. The reversal of 2200011210120 is 210121100022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2200011210096 and 2200011210105.

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, 12977424 + ... + 13145856.

It is an arithmetic number, because the mean of its divisors is an integer number (52185064050).

Almost surely, 22200011210120 is an apocalyptic number.

2200011210120 is a gapful number since it is divisible by the number (20) 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 2200011210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3339844099200).

2200011210120 is an abundant number, since it is smaller than the sum of its proper divisors (4479676988280).

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

2200011210120 is a wasteful number, since it uses less digits than its factorization.

2200011210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169759 (or 169755 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2200011210120 its reverse (210121100022), we get a palindrome (2410132310142).

The spelling of 2200011210120 in words is "two trillion, two hundred billion, eleven million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 120 178 267 356 445 534 712 890 1068 1223 1335 1780 2136 2446 2670 3560 3669 4892 5340 6115 7338 9784 10680 12230 14676 18345 24460 29352 36690 48920 73380 108847 146760 168433 217694 326541 336866 435388 505299 544235 653082 673732 842165 870776 1010598 1088470 1306164 1347464 1632705 1684330 2021196 2176940 2526495 2612328 3265410 3368660 4042392 4353880 5052990 6530820 6737320 10105980 13061640 14990537 20211960 29981074 44971611 59962148 74952685 89943222 119924296 149905370 179886444 205993559 224858055 299810740 359772888 411987118 449716110 599621480 617980677 823974236 899432220 1029967795 1235961354 1647948472 1798864440 2059935590 2471922708 3089903385 4119871180 4943845416 6179806770 8239742360 12359613540 18333426751 24719227080 36666853502 55000280253 73333707004 91667133755 110000560506 146667414008 183334267510 220001121012 275001401265 366668535020 440002242024 550002802530 733337070040 1100005605060 2200011210120