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103111212213220 = 2251011571481219533
BaseRepresentation
bin10111011100011101110011…
…001011010010001111100100
3111112002100001122222121000211
4113130131303023102033210
5102003333230311310340
61003144345325545204
730501352650463201
oct2734356313221744
9445070048877024
10103111212213220
112a944246210772
12b693788415204
13456c465352273
141b66875cbaca8
15bdc25c75a5ea
hex5dc7732d23e4

103111212213220 has 96 divisors (see below), whose sum is σ = 220219890954336. Its totient is φ = 40548438528000.

The previous prime is 103111212213193. The next prime is 103111212213277. The reversal of 103111212213220 is 22312212111301.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 347673316 + 103110864539904 = 18646^2 + 10154352^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103111212213191 and 103111212213200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 469574574 + ... + 469794106.

It is an arithmetic number, because the mean of its divisors is an integer number (2293957197441).

Almost surely, 2103111212213220 is an apocalyptic number.

103111212213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103111212213220 is an abundant number, since it is smaller than the sum of its proper divisors (117108678741116).

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

103111212213220 is a wasteful number, since it uses less digits than its factorization.

103111212213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221281 (or 221279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 103111212213220 its reverse (22312212111301), we get a palindrome (125423424324521).

The spelling of 103111212213220 in words is "one hundred three trillion, one hundred eleven billion, two hundred twelve million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 157 202 314 404 505 628 785 1010 1481 1570 2020 2962 3140 5924 7405 14810 15857 29620 31714 63428 79285 149581 158570 219533 232517 299162 317140 439066 465034 598324 747905 878132 930068 1097665 1162585 1495810 2195330 2325170 2991620 4390660 4650340 22172833 23484217 34466681 44345666 46968434 68933362 88691332 93936868 110864165 117421085 137866724 172333405 221728330 234842170 325128373 344666810 443456660 469684340 650256746 689333620 1300513492 1625641865 3251283730 3481134781 6502567460 6962269562 13924539124 17405673905 32837965673 34811347810 51045154561 65675931346 69622695620 102090309122 131351862692 164189828365 204180618244 255225772805 328379656730 510451545610 656759313460 1020903091220 5155560610661 10311121221322 20622242442644 25777803053305 51555606106610 103111212213220