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21133240002432 = 273283872187293
BaseRepresentation
bin1001100111000011101110…
…10000110110011110000000
32202211022120211110100112200
410303201313100312132000
510232221333420034212
6112540250524153200
74310553250063335
oct463416720663600
982738524410480
1021133240002432
116808614047918
12245391b398800
13ba3b1878a5ac
14530bd61ac98c
15269acdb116dc
hex133877436780

21133240002432 has 96 divisors (see below), whose sum is σ = 60820378168680. Its totient is φ = 7043570193408.

The previous prime is 21133240002431. The next prime is 21133240002439. The reversal of 21133240002432 is 23420004233112.

21133240002432 is a `hidden beast` number, since 2 + 1 + 13 + 3 + 2 + 400 + 0 + 243 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×211332400024322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21133240002396 and 21133240002405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21133240002431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8568178 + ... + 10755470.

Almost surely, 221133240002432 is an apocalyptic number.

It is an amenable number.

21133240002432 is an abundant number, since it is smaller than the sum of its proper divisors (39687138166248).

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

21133240002432 is a wasteful number, since it uses less digits than its factorization.

21133240002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2195700 (or 2195685 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21133240002432 its reverse (23420004233112), we get a palindrome (44553244235544).

The spelling of 21133240002432 in words is "twenty-one trillion, one hundred thirty-three billion, two hundred forty million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 8387 16774 25161 33548 50322 67096 75483 100644 134192 150966 201288 268384 301932 402576 536768 603864 805152 1073536 1207728 1610304 2187293 2415456 3220608 4374586 4830912 6561879 8749172 9661824 13123758 17498344 19685637 26247516 34996688 39371274 52495032 69993376 78742548 104990064 139986752 157485096 209980128 279973504 314970192 419960256 629940384 839920512 1259880768 2519761536 18344826391 36689652782 55034479173 73379305564 110068958346 146758611128 165103437519 220137916692 293517222256 330206875038 440275833384 587034444512 660413750076 880551666768 1174068889024 1320827500152 1761103333536 2348137778048 2641655000304 3522206667072 5283310000608 7044413334144 10566620001216 21133240002432