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1202210000112 = 2431122917415711
BaseRepresentation
bin10001011111101001010…
…011001100110011110000
311020221010002012202012110
4101133221103030303300
5124144111230000422
62320142044325320
7152566612252032
oct21375123146360
94227102182173
101202210000112
11423944226970
12174bb5843840
13894a240ac94
1442289c49c52
1521413c3060c
hex117e94cccf0

1202210000112 has 160 divisors (see below), whose sum is σ = 3405392040960. Its totient is φ = 362443392000.

The previous prime is 1202210000107. The next prime is 1202210000143. The reversal of 1202210000112 is 2110000122021.

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

It is a congruent number.

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, 210504937 + ... + 210510647.

It is an arithmetic number, because the mean of its divisors is an integer number (21283700256).

Almost surely, 21202210000112 is an apocalyptic number.

1202210000112 is a gapful number since it is divisible by the number (12) 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 1202210000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1702696020480).

1202210000112 is an abundant number, since it is smaller than the sum of its proper divisors (2203182040848).

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

1202210000112 is a wasteful number, since it uses less digits than its factorization.

1202210000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7703 (or 7697 counting only the distinct ones).

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

Adding to 1202210000112 its reverse (2110000122021), we get a palindrome (3312210122133).

The spelling of 1202210000112 in words is "one trillion, two hundred two billion, two hundred ten million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 229 264 458 528 687 916 1374 1741 1832 2519 2748 3482 3664 5038 5223 5496 5711 6964 7557 10076 10446 10992 11422 13928 15114 17133 19151 20152 20892 22844 27856 30228 34266 38302 40304 41784 45688 57453 60456 62821 68532 76604 83568 91376 114906 120912 125642 137064 153208 188463 229812 251284 274128 306416 376926 398689 459624 502568 753852 797378 919248 1005136 1196067 1307819 1507704 1594756 2392134 2615638 3015408 3189512 3923457 4385579 4784268 5231276 6379024 7846914 8771158 9568536 9942851 10462552 13156737 14386009 15693828 17542316 19137072 19885702 20925104 26313474 28772018 29828553 31387656 35084632 39771404 43158027 52626948 57544036 59657106 62775312 70169264 79542808 86316054 105253896 109371361 115088072 119314212 159085616 172632108 210507792 218742722 230176144 238628424 328114083 345264216 437485444 477256848 656228166 690528432 874970888 1312456332 1749941776 2276912879 2624912664 4553825758 5249825328 6830738637 9107651516 13661477274 18215303032 25046041669 27322954548 36430606064 50092083338 54645909096 75138125007 100184166676 109291818192 150276250014 200368333352 300552500028 400736666704 601105000056 1202210000112