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102223023332130 = 236523609667939
BaseRepresentation
bin10111001111100010100110…
…111111100101101100100010
3111101221102111020220112000000
4113033202212333211230202
5101344310222433112010
61001224335243440430
730350240545531521
oct2717424677455442
9441842436815000
10102223023332130
112a6315a47a4378
12b56b60b826116
13450678886761c
141b358993c64b8
15bc40c70de7c0
hex5cf8a6fe5b22

102223023332130 has 112 divisors (see below), whose sum is σ = 287870569237440. Its totient is φ = 26074278372384.

The previous prime is 102223023332069. The next prime is 102223023332191. The reversal of 102223023332130 is 31233320322201.

102223023332130 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 2 + 302 + 3 + 3 + 321 + 30 = 666.

It is an interprime number because it is at equal distance from previous prime (102223023332069) and next prime (102223023332191).

It is a super-2 number, since 2×1022230233321302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102223023332094 and 102223023332103.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 304666300 + ... + 305001639.

It is an arithmetic number, because the mean of its divisors is an integer number (2570272939620).

Almost surely, 2102223023332130 is an apocalyptic number.

102223023332130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102223023332130 is an abundant number, since it is smaller than the sum of its proper divisors (185647545905310).

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

102223023332130 is an equidigital number, since it uses as much as digits as its factorization.

102223023332130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609667987 (or 609667972 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 102223023332130 its reverse (31233320322201), we get a palindrome (133456343654331).

The spelling of 102223023332130 in words is "one hundred two trillion, two hundred twenty-three billion, twenty-three million, three hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 243 270 345 405 414 486 621 690 729 810 1035 1215 1242 1458 1863 2070 2430 3105 3645 3726 5589 6210 7290 9315 11178 16767 18630 27945 33534 55890 83835 167670 609667939 1219335878 1829003817 3048339695 3658007634 5487011451 6096679390 9145019085 10974022902 14022362597 16461034353 18290038170 27435057255 28044725194 32922068706 42067087791 49383103059 54870114510 70111812985 82305171765 84134175582 98766206118 126201263373 140223625970 148149309177 164610343530 210335438955 246915515295 252402526746 296298618354 378603790119 420670877910 444447927531 493831030590 631006316865 740746545885 757207580238 888895855062 1135811370357 1262012633730 1481493091770 1893018950595 2222239637655 2271622740714 3407434111071 3786037901190 4444479275310 5679056851785 6814868222142 10222302333213 11358113703570 17037170555355 20444604666426 34074341110710 51111511666065 102223023332130