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110200012110120 = 233515748711200833
BaseRepresentation
bin11001000011100111110000…
…100100110111100100101000
3112110012000111022121201120110
4121003213300210313210220
5103421004111100010440
61030213104153254320
732132455013432202
oct3103476044674450
9473160438551513
10110200012110120
1132127620a22959
12104396011043a0
134964a7cc7078a
141d2d9cd895772
15cb184dc7a080
hex6439f0937928

110200012110120 has 128 divisors (see below), whose sum is σ = 332774349546240. Its totient is φ = 29193474785280.

The previous prime is 110200012110109. The next prime is 110200012110131. The reversal of 110200012110120 is 21011210002011.

It is an interprime number because it is at equal distance from previous prime (110200012110109) and next prime (110200012110131).

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 = 110200012110096 and 110200012110105.

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, 91169224 + ... + 92370056.

It is an arithmetic number, because the mean of its divisors is an integer number (2599799605830).

Almost surely, 2110200012110120 is an apocalyptic number.

110200012110120 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 110200012110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166387174773120).

110200012110120 is an abundant number, since it is smaller than the sum of its proper divisors (222574337436120).

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

110200012110120 is a wasteful number, since it uses less digits than its factorization.

110200012110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205875 (or 1205871 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110200012110120 its reverse (21011210002011), we get a palindrome (131211222112131).

The spelling of 110200012110120 in words is "one hundred ten trillion, two hundred billion, twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 4871 6280 9420 9742 14613 18840 19484 24355 29226 38968 48710 58452 73065 97420 116904 146130 194840 292260 584520 764747 1200833 1529494 2294241 2401666 3058988 3602499 3823735 4588482 4803332 6004165 6117976 7204998 7647470 9176964 9606664 11471205 12008330 14409996 15294940 18012495 18353928 22942410 24016660 28819992 30589880 36024990 45884820 48033320 72049980 91769640 144099960 188530781 377061562 565592343 754123124 942653905 1131184686 1508246248 1885307810 2262369372 2827961715 3770615620 4524738744 5655923430 5849257543 7541231240 11311846860 11698515086 17547772629 22623693720 23397030172 29246287715 35095545258 46794060344 58492575430 70191090516 87738863145 116985150860 140382181032 175477726290 233970301720 350955452580 701910905160 918333434251 1836666868502 2755000302753 3673333737004 4591667171255 5510000605506 7346667474008 9183334342510 11020001211012 13775001513765 18366668685020 22040002422024 27550003027530 36733337370040 55100006055060 110200012110120