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102022211220 = 22353789516359
BaseRepresentation
bin101111100000011111…
…1110110011010010100
3100202100002210022112120
41133000333312122110
53132420141224340
6114511322015540
710241130326016
oct1370077663224
9322302708476
10102022211220
113a2a3973346
12179330475b0
13980b762827
144d1b85c1b6
1529c1a384d0
hex17c0ff6694

102022211220 has 96 divisors (see below), whose sum is σ = 296679801600. Its totient is φ = 26173154304.

The previous prime is 102022211219. The next prime is 102022211227. The reversal of 102022211220 is 22112220201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102022211220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022211227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60600 + ... + 455759.

It is an arithmetic number, because the mean of its divisors is an integer number (3090414600).

Almost surely, 2102022211220 is an apocalyptic number.

102022211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102022211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148339900800).

102022211220 is an abundant number, since it is smaller than the sum of its proper divisors (194657590380).

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

102022211220 is a wasteful number, since it uses less digits than its factorization.

102022211220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516497 (or 516495 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102022211220 its reverse (22112220201), we get a palindrome (124134431421).

The spelling of 102022211220 in words is "one hundred two billion, twenty-two million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 89 111 148 178 185 222 267 356 370 444 445 534 555 740 890 1068 1110 1335 1780 2220 2670 3293 5340 6586 9879 13172 16465 19758 32930 39516 49395 65860 98790 197580 516359 1032718 1549077 2065436 2581795 3098154 5163590 6196308 7745385 10327180 15490770 19105283 30981540 38210566 45955951 57315849 76421132 91911902 95526415 114631698 137867853 183823804 191052830 229263396 229779755 275735706 286579245 382105660 459559510 551471412 573158490 689339265 919119020 1146316980 1378678530 1700370187 2757357060 3400740374 5101110561 6801480748 8501850935 10202221122 17003701870 20404442244 25505552805 34007403740 51011105610 102022211220