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103021021312 = 27113110123369
BaseRepresentation
bin101111111110010001…
…0000000100010000000
3100211220201020010101221
41133330202000202000
53141441340140222
6115154402004424
710304646142546
oct1377442004200
9324821203357
10103021021312
113a766754130
1217b71646714
13993a674211
144db4379d96
152a2e5820c7
hex17fc880880

103021021312 has 128 divisors (see below), whose sum is σ = 233415820800. Its totient is φ = 44866560000.

The previous prime is 103021021289. The next prime is 103021021351. The reversal of 103021021312 is 213120120301.

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

It is a super-2 number, since 2×1030210213122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4396764 + ... + 4420132.

It is an arithmetic number, because the mean of its divisors is an integer number (1823561100).

Almost surely, 2103021021312 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 103021021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116707910400).

103021021312 is an abundant number, since it is smaller than the sum of its proper divisors (130394799488).

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

103021021312 is a wasteful number, since it uses less digits than its factorization.

103021021312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23526 (or 23514 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103021021312 its reverse (213120120301), we get a palindrome (316141141613).

The spelling of 103021021312 in words is "one hundred three billion, twenty-one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 101 124 128 176 202 248 341 352 404 496 682 704 808 992 1111 1364 1408 1616 1984 2222 2728 3131 3232 3968 4444 5456 6262 6464 8888 10912 12524 12928 17776 21824 23369 25048 34441 35552 43648 46738 50096 68882 71104 93476 100192 137764 142208 186952 200384 257059 275528 373904 400768 514118 551056 724439 747808 1028236 1102112 1448878 1495616 2056472 2204224 2360269 2897756 2991232 4112944 4408448 4720538 5795512 7968829 8225888 9441076 11591024 15937658 16451776 18882152 23182048 25962959 31875316 32903552 37764304 46364096 51925918 63750632 73168339 75528608 92728192 103851836 127501264 146336678 151057216 207703672 255002528 292673356 302114432 415407344 510005056 585346712 804851729 830814688 1020010112 1170693424 1609703458 1661629376 2341386848 3219406916 3323258752 4682773696 6438813832 9365547392 12877627664 25755255328 51510510656 103021021312