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21233131032200 = 23521814091434109
BaseRepresentation
bin1001101001111101110010…
…01110111000111010001000
32210011212102102001102201212
410310332321032320322020
510240340423021012300
6113054210555432252
74321020531606353
oct464767116707210
983155372042655
1021233131032200
116846a13a14a7a
12246b158755688
13bb03778355b9
1453599098529a
1526c4c84c3935
hex134fb93b8e88

21233131032200 has 96 divisors (see below), whose sum is σ = 49761179013000. Its totient is φ = 8425671321600.

The previous prime is 21233131032193. The next prime is 21233131032299. The reversal of 21233131032200 is 223013133212.

It can be written as a sum of positive squares in 12 ways, for example, as 4562846310724 + 16670284721476 = 2136082^2 + 4082926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14088746 + ... + 15522854.

Almost surely, 221233131032200 is an apocalyptic number.

21233131032200 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 21233131032200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24880589506500).

21233131032200 is an abundant number, since it is smaller than the sum of its proper divisors (28528047980800).

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

21233131032200 is a wasteful number, since it uses less digits than its factorization.

21233131032200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434715 (or 1434706 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 21233131032200 its reverse (223013133212), we get a palindrome (21456144165412).

It can be divided in two parts, 2123313 and 1032200, that added together give a palindrome (3155513).

The spelling of 21233131032200 in words is "twenty-one trillion, two hundred thirty-three billion, one hundred thirty-one million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 181 200 362 409 724 818 905 1448 1636 1810 2045 3272 3620 4090 4525 7240 8180 9050 10225 16360 18100 20450 36200 40900 74029 81800 148058 296116 370145 592232 740290 1434109 1480580 1850725 2868218 2961160 3701450 5736436 7170545 7402900 11472872 14341090 14805800 28682180 35852725 57364360 71705450 143410900 259573729 286821800 519147458 586550581 1038294916 1173101162 1297868645 2076589832 2346202324 2595737290 2932752905 4692404648 5191474580 5865505810 6489343225 10382949160 11731011620 12978686450 14663764525 23462023240 25957372900 29327529050 51914745800 58655058100 106165655161 117310116200 212331310322 424662620644 530828275805 849325241288 1061656551610 2123313103220 2654141379025 4246626206440 5308282758050 10616565516100 21233131032200