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1032100131220 = 225314783426731
BaseRepresentation
bin11110000010011011111…
…01100011000110010100
310122200000211111001021221
433001031331203012110
5113402220113144340
62110050143420124
7134365255236304
oct17011575430624
93580024431257
101032100131220
11368790687664
121480402b4644
1376432796422
1437d4d773604
151bca993144a
hexf04df63194

1032100131220 has 96 divisors (see below), whose sum is σ = 2312464121856. Its totient is φ = 386310134400.

The previous prime is 1032100131149. The next prime is 1032100131247. The reversal of 1032100131220 is 221310012301.

1032100131220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1032100131194 and 1032100131203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2205255 + ... + 2631985.

It is an arithmetic number, because the mean of its divisors is an integer number (24088167936).

Almost surely, 21032100131220 is an apocalyptic number.

1032100131220 is a gapful number since it is divisible by the number (10) 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 1032100131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156232060928).

1032100131220 is an abundant number, since it is smaller than the sum of its proper divisors (1280363990636).

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

1032100131220 is a wasteful number, since it uses less digits than its factorization.

1032100131220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426901 (or 426899 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1032100131220 its reverse (221310012301), we get a palindrome (1253410143521).

The spelling of 1032100131220 in words is "one trillion, thirty-two billion, one hundred million, one hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 47 62 83 94 124 155 166 188 235 310 332 415 470 620 830 940 1457 1660 2573 2914 3901 5146 5828 7285 7802 10292 12865 14570 15604 19505 25730 29140 39010 51460 78020 120931 241862 426731 483724 604655 853462 1209310 1706924 2133655 2418620 4267310 8534620 13228661 20056357 26457322 35418673 40112714 52914644 66143305 70837346 80225428 100281785 132286610 141674692 177093365 200563570 264573220 354186730 401127140 621747067 708373460 1097978863 1243494134 1664677631 2195957726 2486988268 3108735335 3329355262 4391915452 5489894315 6217470670 6658710524 8323388155 10979788630 12434941340 16646776310 21959577260 33293552620 51605006561 103210013122 206420026244 258025032805 516050065610 1032100131220