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103322202120 = 23325385374489
BaseRepresentation
bin110000000111001111…
…0111011000000001000
3100212200200221200210200
41200032132323000020
53143100440431440
6115244321212200
710315264140654
oct1401636730010
9325620850720
10103322202120
113a900764795
1218036491060
139987b96607
145002379a64
152a4ac25c30
hex180e7bb008

103322202120 has 96 divisors (see below), whose sum is σ = 335888818200. Its totient is φ = 27545066496.

The previous prime is 103322202119. The next prime is 103322202121. The reversal of 103322202120 is 21202223301.

103322202120 is a `hidden beast` number, since 10 + 332 + 2 + 202 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (103322202119) and next prime (103322202121).

It can be written as a sum of positive squares in 4 ways, for example, as 103191282756 + 130919364 = 321234^2 + 11442^2 .

It is a super-2 number, since 2×1033222021202 (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 junction number, because it is equal to n+sod(n) for n = 103322202093 and 103322202102.

It is not an unprimeable number, because it can be changed into a prime (103322202121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1349836 + ... + 1424324.

Almost surely, 2103322202120 is an apocalyptic number.

103322202120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103322202120 is an abundant number, since it is smaller than the sum of its proper divisors (232566616080).

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

103322202120 is a wasteful number, since it uses less digits than its factorization.

103322202120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78359 (or 78352 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103322202120 its reverse (21202223301), we get a palindrome (124524425421).

It can be divided in two parts, 103 and 322202120, that added together give a palindrome (322202223).

The spelling of 103322202120 in words is "one hundred three billion, three hundred twenty-two million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3853 7706 11559 15412 19265 23118 30824 34677 38530 46236 57795 69354 74489 77060 92472 115590 138708 148978 154120 173385 223467 231180 277416 297956 346770 372445 446934 462360 595912 670401 693540 744890 893868 1117335 1340802 1387080 1489780 1787736 2234670 2681604 2979560 3352005 4469340 5363208 6704010 8938680 13408020 26816040 287006117 574012234 861018351 1148024468 1435030585 1722036702 2296048936 2583055053 2870061170 3444073404 4305091755 5166110106 5740122340 6888146808 8610183510 10332220212 11480244680 12915275265 17220367020 20664440424 25830550530 34440734040 51661101060 103322202120