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103023021312 = 28344968317
BaseRepresentation
bin101111111110010100…
…1101000110100000000
3100211220211222201220000
41133330221220310000
53141442343140222
6115154512520000
710305002142501
oct1377451506400
9324824881800
10103023021312
113a76789a822
1217b72250000
13993abc4653
144db473aba8
152a2e8299ac
hex17fca68d00

103023021312 has 90 divisors (see below), whose sum is σ = 307196070258. Its totient is φ = 34341000192.

The previous prime is 103023021271. The next prime is 103023021317. The reversal of 103023021312 is 213120320301.

103023021312 is a `hidden beast` number, since 1 + 0 + 302 + 30 + 21 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69366917376 + 33656103936 = 263376^2 + 183456^2 .

It is a super-2 number, since 2×1030230213122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103023021317) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2463423 + ... + 2504894.

Almost surely, 2103023021312 is an apocalyptic number.

103023021312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103023021312 is an abundant number, since it is smaller than the sum of its proper divisors (204173048946).

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

103023021312 is an frugal number, since it uses more digits than its factorization.

103023021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4968345 (or 4968322 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103023021312 its reverse (213120320301), we get a palindrome (316143341613).

The spelling of 103023021312 in words is "one hundred three billion, twenty-three million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 4968317 9936634 14904951 19873268 29809902 39746536 44714853 59619804 79493072 89429706 119239608 134144559 158986144 178859412 238479216 268289118 317972288 357718824 402433677 476958432 536578236 635944576 715437648 804867354 953916864 1073156472 1271889152 1430875296 1609734708 1907833728 2146312944 2861750592 3219469416 3815667456 4292625888 5723501184 6438938832 8585251776 11447002368 12877877664 17170503552 25755755328 34341007104 51511510656 103023021312