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102130033001320 = 235471631321252293
BaseRepresentation
bin10111001110001100000000…
…010101101000001101101000
3111101121112110121012021011201
4113032030000111220031220
5101341244301422020240
61001113520042133544
730340436266003402
oct2716140025501550
9441545417167151
10102130033001320
112a5a6116117505
12b5555994b12b4
1344caa89367c3c
141b311972bbb72
15bc198347dd9a
hex5ce300568368

102130033001320 has 128 divisors (see below), whose sum is σ = 236301224624640. Its totient is φ = 39707289262080.

The previous prime is 102130033001287. The next prime is 102130033001329. The reversal of 102130033001320 is 23100330031201.

It is not an unprimeable number, because it can be changed into a prime (102130033001329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404681094 + ... + 404933386.

It is an arithmetic number, because the mean of its divisors is an integer number (1846103317380).

Almost surely, 2102130033001320 is an apocalyptic number.

102130033001320 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 102130033001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118150612312320).

102130033001320 is an abundant number, since it is smaller than the sum of its proper divisors (134171191623320).

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

102130033001320 is a wasteful number, since it uses less digits than its factorization.

102130033001320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253835 (or 253831 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 102130033001320 its reverse (23100330031201), we get a palindrome (125230363032521).

The spelling of 102130033001320 in words is "one hundred two trillion, one hundred thirty billion, thirty-three million, one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 47 94 163 188 235 326 376 470 652 815 940 1304 1321 1630 1880 2642 3260 5284 6520 6605 7661 10568 13210 15322 26420 30644 38305 52840 61288 62087 76610 124174 153220 215323 248348 252293 306440 310435 430646 496696 504586 620870 861292 1009172 1076615 1241740 1261465 1722584 2018344 2153230 2483480 2522930 4306460 5045860 8612920 10091720 10120181 11857771 20240362 23715542 40480724 41123759 47431084 50600905 59288855 80961448 82247518 94862168 101201810 118577710 164495036 202403620 205618795 237155420 328990072 333279053 404807240 411237590 474310840 666558106 822475180 1333116212 1644950360 1666395265 1932816673 2666232424 3332790530 3865633346 6665581060 7731266692 9664083365 13331162120 15462533384 15664115491 19328166730 31328230982 38656333460 54324485639 62656461964 77312666920 78320577455 108648971278 125312923928 156641154910 217297942556 271622428195 313282309820 434595885112 543244856390 626564619640 1086489712780 2172979425560 2553250825033 5106501650066 10213003300132 12766254125165 20426006600264 25532508250330 51065016500660 102130033001320