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102941700 = 223523111069
BaseRepresentation
bin1100010001011…
…00010000000100
321011200222110120
412020230100010
5202323113300
614114221540
72356663401
oct610542004
9234628416
10102941700
1153120694
122a5848b0
1318433764
14d9592a8
1590863a0
hex622c404

102941700 has 72 divisors (see below), whose sum is σ = 307480320. Its totient is φ = 26563200.

The previous prime is 102941689. The next prime is 102941711. The reversal of 102941700 is 7149201.

It is an interprime number because it is at equal distance from previous prime (102941689) and next prime (102941711).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3766 + ... + 14834.

It is an arithmetic number, because the mean of its divisors is an integer number (4270560).

Almost surely, 2102941700 is an apocalyptic number.

102941700 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 102941700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

102941700 is an abundant number, since it is smaller than the sum of its proper divisors (204538620).

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

102941700 is a wasteful number, since it uses less digits than its factorization.

102941700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11117 (or 11110 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 102941700 is about 10146.0189236961. The cubic root of 102941700 is about 468.6663566312. Note that the first 3 decimals are identical.

The spelling of 102941700 in words is "one hundred two million, nine hundred forty-one thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 11069 22138 33207 44276 55345 66414 110690 132828 166035 221380 276725 332070 343139 553450 664140 686278 830175 1029417 1106900 1372556 1660350 1715695 2058834 3320700 3431390 4117668 5147085 6862780 8578475 10294170 17156950 20588340 25735425 34313900 51470850 102941700