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920102201028 = 2232171503434969
BaseRepresentation
bin11010110001110100101…
…11010110011011000100
310020221221111121200221100
431120322113112123010
5110033332130413103
61542404503220100
7123321663444423
oct15307227263304
93227844550840
10920102201028
11325238783a7a
1212a3a4447630
13689c439830a
14327670b32ba
1518e022345a3
hexd63a5d66c4

920102201028 has 36 divisors (see below), whose sum is σ = 2462626480860. Its totient is φ = 288659513856.

The previous prime is 920102200999. The next prime is 920102201069. The reversal of 920102201028 is 820102201029.

It can be written as a sum of positive squares in 2 ways, for example, as 474842271744 + 445259929284 = 689088^2 + 667278^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 920102200992 and 920102201010.

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, 751716873 + ... + 751718096.

It is an arithmetic number, because the mean of its divisors is an integer number (68406291135).

Almost surely, 2920102201028 is an apocalyptic number.

It is an amenable number.

920102201028 is an abundant number, since it is smaller than the sum of its proper divisors (1542524279832).

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

920102201028 is a wasteful number, since it uses less digits than its factorization.

920102201028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503434996 (or 1503434991 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Subtracting from 920102201028 its reverse (820102201029), we obtain a palindrome (99999999999).

The spelling of 920102201028 in words is "nine hundred twenty billion, one hundred two million, two hundred one thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1503434969 3006869938 4510304907 6013739876 9020609814 13530914721 18041219628 25558394473 27061829442 51116788946 54123658884 76675183419 102233577892 153350366838 230025550257 306700733676 460051100514 920102201028