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123010100000 = 25554328607
BaseRepresentation
bin111001010001111111…
…0010010101100100000
3102202111210012112102122
41302203332102230200
54003411041200000
6132302101203412
711613206412104
oct1624376225440
9382453175378
10123010100000
1148193aa3877
121ba0ba00568
13b7a49c6b28
145d4d01b904
1532ee392085
hex1ca3f92b20

123010100000 has 144 divisors (see below), whose sum is σ = 309751174656. Its totient is φ = 48058080000.

The previous prime is 123010099969. The next prime is 123010100011. The reversal of 123010100000 is 1010321.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 4285697 + ... + 4314303.

It is an arithmetic number, because the mean of its divisors is an integer number (2151049824).

Almost surely, 2123010100000 is an apocalyptic number.

123010100000 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 123010100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154875587328).

123010100000 is an abundant number, since it is smaller than the sum of its proper divisors (186741074656).

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

123010100000 is an frugal number, since it uses more digits than its factorization.

123010100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28685 (or 28657 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 123010100000 its reverse (1010321), we get a palindrome (123011110321).

The spelling of 123010100000 in words is "one hundred twenty-three billion, ten million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 80 86 100 125 160 172 200 215 250 344 400 430 500 625 688 800 860 1000 1075 1250 1376 1720 2000 2150 2500 3125 3440 4000 4300 5000 5375 6250 6880 8600 10000 10750 12500 17200 20000 21500 25000 26875 28607 34400 43000 50000 53750 57214 86000 100000 107500 114428 134375 143035 172000 215000 228856 268750 286070 430000 457712 537500 572140 715175 860000 915424 1075000 1144280 1230101 1430350 2150000 2288560 2460202 2860700 3575875 4300000 4577120 4920404 5721400 6150505 7151750 9840808 11442800 12301010 14303500 17879375 19681616 22885600 24602020 28607000 30752525 35758750 39363232 49204040 57214000 61505050 71517500 89396875 98408080 114428000 123010100 143035000 153762625 178793750 196816160 246020200 286070000 307525250 357587500 492040400 572140000 615050500 715175000 768813125 984080800 1230101000 1430350000 1537626250 2460202000 2860700000 3075252500 3844065625 4920404000 6150505000 7688131250 12301010000 15376262500 24602020000 30752525000 61505050000 123010100000