Search a number
-
+
10122130321320 = 2335678871419359
BaseRepresentation
bin1001001101001011110111…
…1110110110111110101000
31022211122222122222101210110
42103102331332312332220
52311320110330240240
633310013101414320
72063204553061113
oct223227576667650
938748878871713
1010122130321320
113252853757076
1211758a0b6a3a0
135856887b8a44
1426dcb137557a
15128476e4ec80
hex934bdfb6fa8

10122130321320 has 128 divisors (see below), whose sum is σ = 30854388326400. Its totient is φ = 2655948109056.

The previous prime is 10122130321301. The next prime is 10122130321327. The reversal of 10122130321320 is 2312303122101.

It is not an unprimeable number, because it can be changed into a prime (10122130321327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6421801 + ... + 7841159.

It is an arithmetic number, because the mean of its divisors is an integer number (241049908800).

Almost surely, 210122130321320 is an apocalyptic number.

10122130321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122130321320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427194163200).

10122130321320 is an abundant number, since it is smaller than the sum of its proper divisors (20732258005080).

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

10122130321320 is a wasteful number, since it uses less digits than its factorization.

10122130321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420327 (or 1420323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10122130321320 its reverse (2312303122101), we get a palindrome (12434433443421).

The spelling of 10122130321320 in words is "ten trillion, one hundred twenty-two billion, one hundred thirty million, three hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 887 1005 1340 1608 1774 2010 2661 2680 3548 4020 4435 5322 7096 8040 8870 10644 13305 17740 21288 26610 35480 53220 59429 106440 118858 178287 237716 297145 356574 475432 594290 713148 891435 1188580 1419359 1426296 1782870 2377160 2838718 3565740 4258077 5677436 7096795 7131480 8516154 11354872 14193590 17032308 21290385 28387180 34064616 42580770 56774360 85161540 95097053 170323080 190194106 285291159 380388212 475485265 570582318 760776424 950970530 1141164636 1258971433 1426455795 1901941060 2282329272 2517942866 2852911590 3776914299 3803882120 5035885732 5705823180 6294857165 7553828598 10071771464 11411646360 12589714330 15107657196 18884571495 25179428660 30215314392 37769142990 50358857320 75538285980 84351086011 151076571960 168702172022 253053258033 337404344044 421755430055 506106516066 674808688088 843510860110 1012213032132 1265266290165 1687021720220 2024426064264 2530532580330 3374043440440 5061065160660 10122130321320