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1112100002010 = 232571448138839
BaseRepresentation
bin10000001011101110010…
…100110101100011011010
310221022112011100120001100
4100023232110311203122
5121210040100031020
62210520334332230
7143226606022224
oct20135624654332
93838464316040
101112100002010
11399703505658
1215b64805a076
1380b4188448a
143bb7c4b7414
151dddcdc6a90
hex102ee5358da

1112100002010 has 96 divisors (see below), whose sum is σ = 2932914666240. Its totient is φ = 292310323200.

The previous prime is 1112100001889. The next prime is 1112100002011. The reversal of 1112100002010 is 102000012111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1112100001983 and 1112100002001.

It is not an unprimeable number, because it can be changed into a prime (1112100002011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28614171 + ... + 28653009.

It is an arithmetic number, because the mean of its divisors is an integer number (30551194440).

Almost surely, 21112100002010 is an apocalyptic number.

1112100002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112100002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466457333120).

1112100002010 is an abundant number, since it is smaller than the sum of its proper divisors (1820814664230).

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

1112100002010 is a wasteful number, since it uses less digits than its factorization.

1112100002010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43404 (or 43401 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1112100002010 its reverse (102000012111), we get a palindrome (1214100014121).

The spelling of 1112100002010 in words is "one trillion, one hundred twelve billion, one hundred million, two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 4481 6390 8962 13443 22405 26886 38839 40329 44810 67215 77678 80658 116517 134430 194195 201645 233034 318151 349551 388390 403290 582585 636302 699102 954453 1165170 1590755 1747755 1908906 2757569 2863359 3181510 3495510 4772265 5515138 5726718 8272707 9544530 13787845 14316795 16545414 24818121 27575690 28633590 41363535 49636242 82727070 124090605 174037559 248181210 348075118 522112677 870187795 1044225354 1566338031 1740375590 2610563385 3132676062 5221126770 7831690155 12356666689 15663380310 24713333378 37070000067 61783333445 74140000134 111210000201 123566666890 185350000335 222420000402 370700000670 556050001005 1112100002010