Search a number
-
+
2321006262420 = 2235139983283111
BaseRepresentation
bin100001110001100110110…
…000001111100010010100
322012212220220202120111110
4201301212300033202110
5301011410100344140
64534131111135020
7326454461500116
oct41614660174224
98185826676443
102321006262420
11815373587a3a
123159b0374470
1313ab4038b351
14804a17b53b6
1540594924380
hex21c66c0f894

2321006262420 has 96 divisors (see below), whose sum is σ = 6552253532160. Its totient is φ = 613854956160.

The previous prime is 2321006262409. The next prime is 2321006262541. The reversal of 2321006262420 is 242626001232.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 8056665 + ... + 8339775.

It is an arithmetic number, because the mean of its divisors is an integer number (68252640960).

Almost surely, 22321006262420 is an apocalyptic number.

2321006262420 is a gapful number since it is divisible by the number (20) 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 2321006262420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3276126766080).

2321006262420 is an abundant number, since it is smaller than the sum of its proper divisors (4231247269740).

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

2321006262420 is a wasteful number, since it uses less digits than its factorization.

2321006262420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284245 (or 284243 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 2321006262420 in words is "two trillion, three hundred twenty-one billion, six million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 139 278 417 556 695 834 983 1390 1668 1966 2085 2780 2949 3932 4170 4915 5898 8340 9830 11796 14745 19660 29490 58980 136637 273274 283111 409911 546548 566222 683185 819822 849333 1132444 1366370 1415555 1639644 1698666 2049555 2732740 2831110 3397332 4099110 4246665 5662220 8198220 8493330 16986660 39352429 78704858 118057287 157409716 196762145 236114574 278298113 393524290 472229148 556596226 590286435 787048580 834894339 1113192452 1180572870 1391490565 1669788678 2361145740 2782981130 3339577356 4174471695 5565962260 8348943390 16697886780 38683437707 77366875414 116050313121 154733750828 193417188535 232100626242 386834377070 464201252484 580251565605 773668754140 1160503131210 2321006262420