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2011232230400 = 21052101777859
BaseRepresentation
bin11101010001000110110…
…010000101110000000000
321010021100020021021102102
4131101012302011300000
5230423000422333100
64135540342405532
7265210131613331
oct35210662056000
97107306237372
102011232230400
11705a60185828
122859597308a8
1311787361c253
146d4b6532288
15374b4140cd5
hex1d446c85c00

2011232230400 has 132 divisors (see below), whose sum is σ = 5034787526040. Its totient is φ = 796526592000.

The previous prime is 2011232230393. The next prime is 2011232230411. The reversal of 2011232230400 is 40322321102.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196671 + ... + 2974529.

Almost surely, 22011232230400 is an apocalyptic number.

2011232230400 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 2011232230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517393763020).

2011232230400 is an abundant number, since it is smaller than the sum of its proper divisors (3023555295640).

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

2011232230400 is a wasteful number, since it uses less digits than its factorization.

2011232230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777990 (or 777967 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2011232230400 its reverse (40322321102), we get a palindrome (2051554551502).

The spelling of 2011232230400 in words is "two trillion, eleven billion, two hundred thirty-two million, two hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 128 160 200 202 256 320 400 404 505 512 640 800 808 1010 1024 1280 1600 1616 2020 2525 2560 3200 3232 4040 5050 5120 6400 6464 8080 10100 12800 12928 16160 20200 25600 25856 32320 40400 51712 64640 80800 103424 129280 161600 258560 323200 517120 646400 777859 1292800 1555718 2585600 3111436 3889295 6222872 7778590 12445744 15557180 19446475 24891488 31114360 38892950 49782976 62228720 77785900 78563759 99565952 124457440 155571800 157127518 199131904 248914880 311143600 314255036 392818795 398263808 497829760 622287200 628510072 785637590 796527616 995659520 1244574400 1257020144 1571275180 1964093975 1991319040 2489148800 2514040288 3142550360 3928187950 3982638080 4978297600 5028080576 6285100720 7856375900 9956595200 10056161152 12570201440 15712751800 19913190400 20112322304 25140402880 31425503600 40224644608 50280805760 62851007200 80449289216 100561611520 125702014400 201123223040 251404028800 402246446080 502808057600 1005616115200 2011232230400