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10120212320322 = 23132241259315971
BaseRepresentation
bin1001001101000100101110…
…1010010001000001000010
31022211111000222220212001110
42103101023222101001002
52311302143323222242
633305054504144150
72063106203246346
oct223211352210102
938744028825043
1010120212320322
113251a5a026585
121175446768056
13585441321900
1426db6c743626
151283b388839c
hex9344ba91042

10120212320322 has 96 divisors (see below), whose sum is σ = 22017954758976. Its totient is φ = 3099600691200.

The previous prime is 10120212320321. The next prime is 10120212320359. The reversal of 10120212320322 is 22302321202101.

It is not an unprimeable number, because it can be changed into a prime (10120212320321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633653797 + ... + 633669767.

It is an arithmetic number, because the mean of its divisors is an integer number (229353695406).

Almost surely, 210120212320322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10120212320322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11008977379488).

10120212320322 is an abundant number, since it is smaller than the sum of its proper divisors (11897742438654).

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

10120212320322 is a wasteful number, since it uses less digits than its factorization.

10120212320322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18836 (or 18823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10120212320322 its reverse (22302321202101), we get a palindrome (32422533522423).

The spelling of 10120212320322 in words is "ten trillion, one hundred twenty billion, two hundred twelve million, three hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 169 241 338 482 507 723 1014 1446 2593 3133 5186 6266 7779 9399 15558 15971 18798 31942 33709 40729 47913 67418 81458 95826 101127 122187 202254 207623 244374 415246 438217 622869 624913 876434 1245738 1249826 1314651 1874739 2629302 2699099 3749478 3849011 5398198 7698022 8097297 8123869 11547033 16194594 16247738 23094066 24371607 41412803 48743214 50037143 82825606 100074286 105610297 124238409 150111429 211220594 248476818 300222858 316830891 538366439 633661782 650482859 1076732878 1300965718 1615099317 1951448577 3230198634 3902897154 6998763707 9980485523 13997527414 19960971046 20996291121 29941456569 41992582242 59882913138 129746311799 259492623598 389238935397 778477870794 1686702053387 3373404106774 5060106160161 10120212320322