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102103331133020 = 22573834162145751
BaseRepresentation
bin10111001101110011001000…
…110010000101011001011100
3111101111222112200220210221112
4113031303020302011121130
5101340330110232224040
61001053342304321152
730335502504606020
oct2715631062053134
9441458480823845
10102103331133020
112a595863661658
12b5503870131b8
1344c83c237c979
141b2db82cc4380
15bc0e1e189365
hex5cdcc8c8565c

102103331133020 has 96 divisors (see below), whose sum is σ = 245699079929856. Its totient is φ = 34913852640000.

The previous prime is 102103331133007. The next prime is 102103331133049. The reversal of 102103331133020 is 20331133301201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2231695145 + ... + 2231740895.

It is an arithmetic number, because the mean of its divisors is an integer number (2559365415936).

Almost surely, 2102103331133020 is an apocalyptic number.

102103331133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102103331133020 is an abundant number, since it is smaller than the sum of its proper divisors (143595748796836).

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

102103331133020 is a wasteful number, since it uses less digits than its factorization.

102103331133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87771 (or 87769 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 102103331133020 its reverse (20331133301201), we get a palindrome (122434464434221).

The spelling of 102103331133020 in words is "one hundred two trillion, one hundred three billion, three hundred thirty-one million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 383 766 1532 1915 2681 3830 5362 7660 10724 13405 26810 41621 45751 53620 83242 91502 166484 183004 208105 228755 291347 320257 416210 457510 582694 640514 832420 915020 1165388 1281028 1456735 1601285 2913470 3202570 5826940 6405140 15940843 17522633 31881686 35045266 63763372 70090532 79704215 87613165 111585901 122658431 159408430 175226330 223171802 245316862 318816860 350452660 446343604 490633724 557929505 613292155 1115859010 1226584310 1904202371 2231718020 2453168620 3808404742 7616809484 9521011855 13329416597 19042023710 26658833194 38084047420 53317666388 66647082985 133294165970 266588331940 729309508093 1458619016186 2917238032372 3646547540465 5105166556651 7293095080930 10210333113302 14586190161860 20420666226604 25525832783255 51051665566510 102103331133020