Search a number
-
+
102123212111130 = 23572571892221829
BaseRepresentation
bin10111001110000101101001…
…110001111111110100011010
3111101120212212020111010212010
4113032011221301333310122
5101341141314300024010
61001110431142530350
730340105253254230
oct2716055161776432
9441525766433763
10102123212111130
112a5a3235987781
12b5541b51369b6
1344ca2401b3942
141b30b0b466950
15bc16d4744620
hex5ce169c7fd1a

102123212111130 has 64 divisors (see below), whose sum is σ = 281199301712640. Its totient is φ = 23251621822464.

The previous prime is 102123212111119. The next prime is 102123212111149. The reversal of 102123212111130 is 31111212321201.

It is a super-2 number, since 2×1021232121111302 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 102123212111097 and 102123212111106.

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, 946056945 + ... + 946164884.

It is an arithmetic number, because the mean of its divisors is an integer number (4393739089260).

Almost surely, 2102123212111130 is an apocalyptic number.

102123212111130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102123212111130 is an abundant number, since it is smaller than the sum of its proper divisors (179076089601510).

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

102123212111130 is a wasteful number, since it uses less digits than its factorization.

102123212111130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892222103.

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 102123212111130 its reverse (31111212321201), we get a palindrome (133234424432331).

The spelling of 102123212111130 in words is "one hundred two trillion, one hundred twenty-three billion, two hundred twelve million, one hundred eleven thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 257 514 771 1285 1542 1799 2570 3598 3855 5397 7710 8995 10794 17990 26985 53970 1892221829 3784443658 5676665487 9461109145 11353330974 13245552803 18922218290 26491105606 28383327435 39736658409 56766654870 66227764015 79473316818 132455528030 198683292045 397366584090 486301010053 972602020106 1458903030159 2431505050265 2917806060318 3404107070371 4863010100530 6808214140742 7294515150795 10212321211113 14589030301590 17020535351855 20424642422226 34041070703710 51061606055565 102123212111130