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103322310120 = 23325299896773
BaseRepresentation
bin110000000111001111…
…1010101010111101000
3100212200201011011221200
41200032133111113220
53143101002410440
6115244323404200
710315265100561
oct1401637252750
9325621134850
10103322310120
113a900828947
1218036523660
139987c03813
1450023a7168
152a4ac47c30
hex180e7d55e8

103322310120 has 96 divisors (see below), whose sum is σ = 347376767400. Its totient is φ = 26602523136.

The previous prime is 103322310109. The next prime is 103322310139. The reversal of 103322310120 is 21013223301.

103322310120 is a `hidden beast` number, since 1 + 0 + 332 + 2 + 310 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101593912644 + 1728397476 = 318738^2 + 41574^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 103322310093 and 103322310102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4937947 + ... + 4958826.

Almost surely, 2103322310120 is an apocalyptic number.

103322310120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103322310120 is an abundant number, since it is smaller than the sum of its proper divisors (244054457280).

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

103322310120 is a wasteful number, since it uses less digits than its factorization.

103322310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9896819 (or 9896812 counting only the distinct ones).

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

Adding to 103322310120 its reverse (21013223301), we get a palindrome (124335533421).

The spelling of 103322310120 in words is "one hundred three billion, three hundred twenty-two million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 9896773 19793546 29690319 39587092 49483865 59380638 79174184 89070957 98967730 118761276 148451595 178141914 197935460 237522552 287006417 296903190 356283828 395870920 445354785 574012834 593806380 712567656 861019251 890709570 1148025668 1187612760 1435032085 1722038502 1781419140 2296051336 2583057753 2870064170 3444077004 3562838280 4305096255 5166115506 5740128340 6888154008 8610192510 10332231012 11480256680 12915288765 17220385020 20664462024 25830577530 34440770040 51661155060 103322310120