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102211023000 = 2335373466717
BaseRepresentation
bin101111100110001000…
…0000111000010011000
3100202211021001221121110
41133030100013002120
53133312010214000
6114542144540320
710245612234462
oct1371420070230
9322737057543
10102211023000
113a390504439
12179863216a0
13983b900488
144d3896b132
1529d33d2850
hex17cc407098

102211023000 has 128 divisors (see below), whose sum is σ = 323267555520. Its totient is φ = 26882841600.

The previous prime is 102211022993. The next prime is 102211023007. The reversal of 102211023000 is 320112201.

It is an interprime number because it is at equal distance from previous prime (102211022993) and next prime (102211023007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211023007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14359 + ... + 452358.

Almost surely, 2102211023000 is an apocalyptic number.

102211023000 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 102211023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161633777760).

102211023000 is an abundant number, since it is smaller than the sum of its proper divisors (221056532520).

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

102211023000 is a wasteful number, since it uses less digits than its factorization.

102211023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466814 (or 466800 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102211023000 its reverse (320112201), we get a palindrome (102531135201).

The spelling of 102211023000 in words is "one hundred two billion, two hundred eleven million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 125 146 150 200 219 250 292 300 365 375 438 500 584 600 730 750 876 1000 1095 1460 1500 1752 1825 2190 2920 3000 3650 4380 5475 7300 8760 9125 10950 14600 18250 21900 27375 36500 43800 54750 73000 109500 219000 466717 933434 1400151 1866868 2333585 2800302 3733736 4667170 5600604 7000755 9334340 11201208 11667925 14001510 18668680 23335850 28003020 34070341 35003775 46671700 56006040 58339625 68140682 70007550 93343400 102211023 116679250 136281364 140015100 170351705 175018875 204422046 233358500 272562728 280030200 340703410 350037750 408844092 466717000 511055115 681406820 700075500 817688184 851758525 1022110230 1362813640 1400151000 1703517050 2044220460 2555275575 3407034100 4088440920 4258792625 5110551150 6814068200 8517585250 10221102300 12776377875 17035170500 20442204600 25552755750 34070341000 51105511500 102211023000