Search a number
-
+
2130321203232 = 253374991201909
BaseRepresentation
bin11111000000000001000…
…010011110000000100000
321112122201202011220120220
4133000001002132000200
5234400344212000412
64310353412403040
7306624226312005
oct37000102360040
97478652156526
102130321203232
11751511866732
122a4a54316480
13125b71b4b991
147517288b8ac
153a63413c68c
hex1f00109e020

2130321203232 has 96 divisors (see below), whose sum is σ = 5754745080000. Its totient is φ = 689529811968.

The previous prime is 2130321203173. The next prime is 2130321203237. The reversal of 2130321203232 is 2323021230312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2130321203237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1171494 + ... + 2373402.

It is an arithmetic number, because the mean of its divisors is an integer number (59945261250).

Almost surely, 22130321203232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130321203232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877372540000).

2130321203232 is an abundant number, since it is smaller than the sum of its proper divisors (3624423876768).

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

2130321203232 is a wasteful number, since it uses less digits than its factorization.

2130321203232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1202458 (or 1202450 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2130321203232 its reverse (2323021230312), we get a palindrome (4453342433544).

The spelling of 2130321203232 in words is "two trillion, one hundred thirty billion, three hundred twenty-one million, two hundred three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 499 592 888 998 1184 1497 1776 1996 2994 3552 3992 5988 7984 11976 15968 18463 23952 36926 47904 55389 73852 110778 147704 221556 295408 443112 590816 886224 1201909 1772448 2403818 3605727 4807636 7211454 9615272 14422908 19230544 28845816 38461088 44470633 57691632 88941266 115383264 133411899 177882532 266823798 355765064 533647596 599752591 711530128 1067295192 1199505182 1423060256 1799257773 2134590384 2399010364 3598515546 4269180768 4798020728 7197031092 9596041456 14394062184 19192082912 22190845867 28788124368 44381691734 57576248736 66572537601 88763383468 133145075202 177526766936 266290150404 355053533872 532580300808 710107067744 1065160601616 2130321203232