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102222011320 = 235111320878563
BaseRepresentation
bin101111100110011101…
…0000001101110111000
3100202212000202012202021
41133030322001232320
53133322313330240
6114543220244224
710246104521422
oct1371472015670
9322760665667
10102222011320
113a39672a0a0
1217989b40674
139840c79b40
144d3a1cb812
1529d435354a
hex17cce81bb8

102222011320 has 128 divisors (see below), whose sum is σ = 270370275840. Its totient is φ = 34291837440.

The previous prime is 102222011303. The next prime is 102222011387. The reversal of 102222011320 is 23110222201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102222011294 and 102222011303.

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, 11933359 + ... + 11941921.

It is an arithmetic number, because the mean of its divisors is an integer number (2112267780).

Almost surely, 2102222011320 is an apocalyptic number.

102222011320 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 102222011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135185137920).

102222011320 is an abundant number, since it is smaller than the sum of its proper divisors (168148264520).

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

102222011320 is a wasteful number, since it uses less digits than its factorization.

102222011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10685 (or 10681 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102222011320 its reverse (23110222201), we get a palindrome (125332233521).

The spelling of 102222011320 in words is "one hundred two billion, two hundred twenty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1144 1430 2087 2860 4174 5720 8348 8563 10435 16696 17126 20870 22957 27131 34252 41740 42815 45914 54262 68504 83480 85630 91828 94193 108524 111319 114785 135655 171260 183656 188386 217048 222638 229570 271310 298441 342520 376772 445276 459140 470965 542620 556595 596882 753544 890552 918280 941930 1085240 1113190 1193764 1224509 1492205 1883860 2226380 2387528 2449018 2984410 3767720 4452760 4898036 5968820 6122545 9796072 11937640 12245090 17870981 24490180 35741962 48980360 71483924 89354905 142967848 178709810 196580791 232322753 357419620 393161582 464645506 714839240 786323164 929291012 982903955 1161613765 1572646328 1858582024 1965807910 2323227530 2555550283 3931615820 4646455060 5111100566 7863231640 9292910120 10222201132 12777751415 20444402264 25555502830 51111005660 102222011320