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233232131000 = 235311139152539
BaseRepresentation
bin1101100100110110110…
…1111110001110111000
3211022000100101212002002
43121031231332032320
512310124411143000
6255051222000132
722564465255211
oct3311555761670
9738010355062
10233232131000
118aa05504080
1239250b76048
1318cbc1c2a0b
14b4078ba408
156100be68d5
hex364db7e3b8

233232131000 has 128 divisors (see below), whose sum is σ = 599665248000. Its totient is φ = 84200976000.

The previous prime is 233232130997. The next prime is 233232131003. The reversal of 233232131000 is 131232332.

It is an interprime number because it is at equal distance from previous prime (233232130997) and next prime (233232131003).

It is a super-2 number, since 2×2332321310002 (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233232131003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1452731 + ... + 1605269.

It is an arithmetic number, because the mean of its divisors is an integer number (4684884750).

Almost surely, 2233232131000 is an apocalyptic number.

233232131000 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 233232131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299832624000).

233232131000 is an abundant number, since it is smaller than the sum of its proper divisors (366433117000).

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

233232131000 is a wasteful number, since it uses less digits than its factorization.

233232131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152710 (or 152696 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 233232131000 its reverse (131232332), we get a palindrome (233363363332).

The spelling of 233232131000 in words is "two hundred thirty-three billion, two hundred thirty-two million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 139 200 220 250 275 278 440 500 550 556 695 1000 1100 1112 1375 1390 1529 2200 2750 2780 3058 3475 5500 5560 6116 6950 7645 11000 12232 13900 15290 17375 27800 30580 34750 38225 61160 69500 76450 139000 152539 152900 191125 305078 305800 382250 610156 762695 764500 1220312 1525390 1529000 1677929 3050780 3355858 3813475 6101560 6711716 7626950 8389645 13423432 15253900 16779290 19067375 21202921 30507800 33558580 38134750 41948225 42405842 67117160 76269500 83896450 84811684 106014605 152539000 167792900 169623368 209741125 212029210 233232131 335585800 419482250 424058420 466464262 530073025 838964500 848116840 932928524 1060146050 1166160655 1677929000 1865857048 2120292100 2332321310 2650365125 4240584200 4664642620 5300730250 5830803275 9329285240 10601460500 11661606550 21202921000 23323213100 29154016375 46646426200 58308032750 116616065500 233232131000