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2421321440100 = 2235261293451579
BaseRepresentation
bin100011001111000010000…
…000010001101101100100
322120110212001110121020120
4203033002000101231210
5304132331242040400
65052201213401540
7336635413441023
oct43170200215544
98513761417216
102421321440100
11853970913762
123313277992b0
13147439281054
148529a63a8ba
1542eb6669ca0
hex233c2011b64

2421321440100 has 144 divisors (see below), whose sum is σ = 7144855408320. Its totient is φ = 632931724800.

The previous prime is 2421321440071. The next prime is 2421321440107. The reversal of 2421321440100 is 10441231242.

It is not an unprimeable number, because it can be changed into a prime (2421321440107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5136111 + ... + 5587689.

Almost surely, 22421321440100 is an apocalyptic number.

2421321440100 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 2421321440100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572427704160).

2421321440100 is an abundant number, since it is smaller than the sum of its proper divisors (4723533968220).

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

2421321440100 is a wasteful number, since it uses less digits than its factorization.

2421321440100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451950 (or 451943 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2421321440100 its reverse (10441231242), we get a palindrome (2431762671342).

The spelling of 2421321440100 in words is "two trillion, four hundred twenty-one billion, three hundred twenty-one million, four hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 293 300 305 366 586 610 732 879 915 1172 1220 1465 1525 1758 1830 2930 3050 3516 3660 4395 4575 5860 6100 7325 8790 9150 14650 17580 17873 18300 21975 29300 35746 43950 53619 71492 87900 89365 107238 178730 214476 268095 357460 446825 451579 536190 893650 903158 1072380 1340475 1354737 1787300 1806316 2257895 2680950 2709474 4515790 5361900 5418948 6773685 9031580 11289475 13547370 22578950 27094740 27546319 33868425 45157900 55092638 67736850 82638957 110185276 132312647 135473700 137731595 165277914 264625294 275463190 330555828 396937941 413194785 529250588 550926380 661563235 688657975 793875882 826389570 1323126470 1377315950 1587751764 1652779140 1984689705 2065973925 2646252940 2754631900 3307816175 3969379410 4131947850 6615632350 7938758820 8071071467 8263895700 9923448525 13231264700 16142142934 19846897050 24213214401 32284285868 39693794100 40355357335 48426428802 80710714670 96852857604 121066072005 161421429340 201776786675 242132144010 403553573350 484264288020 605330360025 807107146700 1210660720050 2421321440100