Search a number
-
+
102045514230 = 23351179434921
BaseRepresentation
bin101111100001001100…
…0101111100111110110
3100202101201122020021000
41133002120233213312
53132442122423410
6114513513304130
710241532362562
oct1370230574766
9322351566230
10102045514230
113a30603a230
121793aa05046
1398135314aa
144d209a66a2
1529c3adcdc0
hex17c262f9f6

102045514230 has 128 divisors (see below), whose sum is σ = 300618086400. Its totient is φ = 24425107200.

The previous prime is 102045514169. The next prime is 102045514231. The reversal of 102045514230 is 32415540201.

102045514230 is a `hidden beast` number, since 102 + 0 + 4 + 551 + 4 + 2 + 3 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102045514194 and 102045514203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102045514231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17170 + ... + 452090.

It is an arithmetic number, because the mean of its divisors is an integer number (2348578800).

Almost surely, 2102045514230 is an apocalyptic number.

102045514230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102045514230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150309043200).

102045514230 is an abundant number, since it is smaller than the sum of its proper divisors (198572572170).

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

102045514230 is a wasteful number, since it uses less digits than its factorization.

102045514230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435027 (or 435021 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 102045514230 in words is "one hundred two billion, forty-five million, five hundred fourteen thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 79 90 99 110 135 158 165 198 237 270 297 330 395 474 495 594 711 790 869 990 1185 1422 1485 1738 2133 2370 2607 2970 3555 4266 4345 5214 7110 7821 8690 10665 13035 15642 21330 23463 26070 39105 46926 78210 117315 234630 434921 869842 1304763 2174605 2609526 3914289 4349210 4784131 6523815 7828578 9568262 11742867 13047630 14352393 19571445 23485734 23920655 28704786 34358759 39142890 43057179 47841310 58714335 68717518 71761965 86114358 103076277 117428670 129171537 143523930 171793795 206152554 215285895 258343074 309228831 343587590 377946349 430571790 515381385 618457662 645857685 755892698 927686493 1030762770 1133839047 1291715370 1546144155 1855372986 1889731745 2267678094 3092288310 3401517141 3779463490 4638432465 5669195235 6803034282 9276864930 10204551423 11338390470 17007585705 20409102846 34015171410 51022757115 102045514230