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103223032192 = 2771931195593
BaseRepresentation
bin110000000100010010…
…0100111100110000000
3100212102210100100020101
41200020210213212000
53142400044012232
6115230415452144
710312651203550
oct1401044474600
9325383310211
10103223032192
113a85a78a975
1218009227054
139970483897
144dd3123160
152a421871e7
hex1808927980

103223032192 has 128 divisors (see below), whose sum is σ = 255367526400. Its totient is φ = 40557957120.

The previous prime is 103223032189. The next prime is 103223032201. The reversal of 103223032192 is 291230322301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 103223032192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429948 + ... + 625540.

It is an arithmetic number, because the mean of its divisors is an integer number (1995058800).

Almost surely, 2103223032192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103223032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127683763200).

103223032192 is an abundant number, since it is smaller than the sum of its proper divisors (152144494208).

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

103223032192 is a wasteful number, since it uses less digits than its factorization.

103223032192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195664 (or 195652 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 103223032192 its reverse (291230322301), we get a palindrome (394453354493).

The spelling of 103223032192 in words is "one hundred three billion, two hundred twenty-three million, thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 128 133 152 217 224 248 266 304 434 448 496 532 589 608 868 896 992 1064 1178 1216 1736 1984 2128 2356 2432 3472 3968 4123 4256 4712 6944 8246 8512 9424 13888 16492 17024 18848 27776 32984 37696 65968 75392 131936 195593 263872 391186 527744 782372 1369151 1564744 2738302 3129488 3716267 5476604 6063383 6258976 7432534 10953208 12126766 12517952 14865068 21906416 24253532 25035904 26013869 29730136 42443681 43812832 48507064 52027738 59460272 84887362 87625664 97014128 104055476 115204277 118920544 169774724 175251328 194028256 208110952 230408554 237841088 339549448 388056512 416221904 460817108 475682176 679098896 776113024 806429939 832443808 921634216 1358197792 1612859878 1664887616 1843268432 2716395584 3225719756 3329775232 3686536864 5432791168 6451439512 7373073728 12902879024 14746147456 25805758048 51611516096 103223032192