Search a number
-
+
2130220032030 = 2325179888714879
BaseRepresentation
bin11110111111111011000…
…000100010000000011110
321112122110200210212210100
4132333323000202000132
5234400142312011110
64310335400121530
7306621560341146
oct36777300420036
97478420725710
102130220032030
1175146a745272
122a4a264662a6
13125b56bb806c
1475163273926
153a62a305bc0
hex1effb02201e

2130220032030 has 96 divisors (see below), whose sum is σ = 5570514892800. Its totient is φ = 564783638976.

The previous prime is 2130220032013. The next prime is 2130220032077. The reversal of 2130220032030 is 302300220312.

It is a happy number.

2130220032030 is a `hidden beast` number, since 21 + 302 + 20 + 0 + 320 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2130220031994 and 2130220032012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143162131 + ... + 143177009.

It is an arithmetic number, because the mean of its divisors is an integer number (58026196800).

Almost surely, 22130220032030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130220032030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2785257446400).

2130220032030 is an abundant number, since it is smaller than the sum of its proper divisors (3440294860770).

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

2130220032030 is a wasteful number, since it uses less digits than its factorization.

2130220032030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23958 (or 23955 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 2130220032030 its reverse (302300220312), we get a palindrome (2432520252342).

The spelling of 2130220032030 in words is "two trillion, one hundred thirty billion, two hundred twenty million, thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 3222 5370 8055 8887 14879 16110 17774 26661 29758 44435 44637 53322 74395 79983 88870 89274 133305 133911 148790 159966 223185 266610 267822 399915 446370 669555 799830 1339110 1590773 2663341 3181546 4772319 5326682 7953865 7990023 9544638 13316705 14316957 15907730 15980046 23861595 23970069 26633410 28633914 39950115 47723190 47940138 71584785 79900230 119850345 132229673 143169570 239700690 264459346 396689019 661148365 793378038 1190067057 1322296730 1983445095 2380134114 3966890190 5950335285 11900670570 23669111467 47338222934 71007334401 118345557335 142014668802 213022003203 236691114670 355036672005 426044006406 710073344010 1065110016015 2130220032030