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20444132100 = 22352767145303
BaseRepresentation
bin10011000010100100…
…001011001100000100
31221202210020111221210
4103002210023030010
5313332144211400
613220352411420
71322424153450
oct230244131404
957683214853
1020444132100
1187411a8047
123b66846b70
131c0a6cb7b2
14dbd297660
157e9c4a950
hex4c290b304

20444132100 has 144 divisors (see below), whose sum is σ = 68611386368. Its totient is φ = 4603167360.

The previous prime is 20444132089. The next prime is 20444132143. The reversal of 20444132100 is 123144402.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68049 + ... + 213351.

Almost surely, 220444132100 is an apocalyptic number.

20444132100 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 20444132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34305693184).

20444132100 is an abundant number, since it is smaller than the sum of its proper divisors (48167254268).

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

20444132100 is a wasteful number, since it uses less digits than its factorization.

20444132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145394 (or 145387 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 20444132100 its reverse (123144402), we get a palindrome (20567276502).

The spelling of 20444132100 in words is "twenty billion, four hundred forty-four million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1876 2010 2100 2345 2814 3350 4020 4690 5025 5628 6700 7035 9380 10050 11725 14070 20100 23450 28140 35175 46900 70350 140700 145303 290606 435909 581212 726515 871818 1017121 1453030 1743636 2034242 2179545 2906060 3051363 3632575 4068484 4359090 5085605 6102726 7265150 8718180 9735301 10171210 10897725 12205452 14530300 15256815 19470602 20342420 21795450 25428025 29205903 30513630 38941204 43590900 48676505 50856050 58411806 61027260 68147107 76284075 97353010 101712100 116823612 136294214 146029515 152568150 194706020 204441321 243382525 272588428 292059030 305136300 340735535 408882642 486765050 584118060 681471070 730147575 817765284 973530100 1022206605 1362942140 1460295150 1703677675 2044413210 2920590300 3407355350 4088826420 5111033025 6814710700 10222066050 20444132100