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106351023000 = 2335355216421
BaseRepresentation
bin110001100001100000…
…0111101001110011000
3101011111210012201221210
41203003000331032120
53220301330214000
6120505035303120
710453322531355
oct1430300751630
9334453181853
10106351023000
114111541a742
12187408aaaa0
13a04b52c211
14520c72562c
152b76aae350
hex18c303d398

106351023000 has 128 divisors (see below), whose sum is σ = 331926978240. Its totient is φ = 28350720000.

The previous prime is 106351022989. The next prime is 106351023011. The reversal of 106351023000 is 320153601.

It is an interprime number because it is at equal distance from previous prime (106351022989) and next prime (106351023011).

It is a super-2 number, since 2×1063510230002 (a number of 23 digits) contains 22 as substring.

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, 16559790 + ... + 16566210.

Almost surely, 2106351023000 is an apocalyptic number.

106351023000 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 106351023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165963489120).

106351023000 is an abundant number, since it is smaller than the sum of its proper divisors (225575955240).

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

106351023000 is a wasteful number, since it uses less digits than its factorization.

106351023000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11966 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

Adding to 106351023000 its reverse (320153601), we get a palindrome (106671176601).

The spelling of 106351023000 in words is "one hundred six billion, three hundred fifty-one million, twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5521 6421 11042 12842 16563 19263 22084 25684 27605 32105 33126 38526 44168 51368 55210 64210 66252 77052 82815 96315 110420 128420 132504 138025 154104 160525 165630 192630 220840 256840 276050 321050 331260 385260 414075 481575 552100 642100 662520 690125 770520 802625 828150 963150 1104200 1284200 1380250 1605250 1656300 1926300 2070375 2407875 2760500 3210500 3312600 3852600 4140750 4815750 5521000 6421000 8281500 9631500 16563000 19263000 35450341 70900682 106351023 141801364 177251705 212702046 283602728 354503410 425404092 531755115 709006820 850808184 886258525 1063510230 1418013640 1772517050 2127020460 2658775575 3545034100 4254040920 4431292625 5317551150 7090068200 8862585250 10635102300 13293877875 17725170500 21270204600 26587755750 35450341000 53175511500 106351023000