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122073900 = 2235213113277
BaseRepresentation
bin1110100011010…
…11001100101100
322111200222220120
413101223030230
5222222331100
620040244540
73011416404
oct721531454
9274628816
10122073900
11629a8a23
1234a70750
131c3a1ba0
14122d9804
15aab50a0
hex746b32c

122073900 has 144 divisors (see below), whose sum is σ = 385121184. Its totient is φ = 29675520.

The previous prime is 122073781. The next prime is 122073901. The reversal of 122073900 is 9370221.

It is a super-2 number, since 2×1220739002 = 29804074122420000, which contains 22 as substring.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (122073901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 440562 + ... + 440838.

Almost surely, 2122073900 is an apocalyptic number.

122073900 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 122073900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192560592).

122073900 is an abundant number, since it is smaller than the sum of its proper divisors (263047284).

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

122073900 is a wasteful number, since it uses less digits than its factorization.

122073900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 122073900 is about 11048.7058065640. The cubic root of 122073900 is about 496.0676882562.

The spelling of 122073900 in words is "one hundred twenty-two million, seventy-three thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 113 130 150 156 195 226 260 277 300 325 339 390 452 554 565 650 678 780 831 975 1108 1130 1300 1356 1385 1469 1662 1695 1950 2260 2770 2825 2938 3324 3390 3601 3900 4155 4407 5540 5650 5876 6780 6925 7202 7345 8310 8475 8814 10803 11300 13850 14404 14690 16620 16950 17628 18005 20775 21606 22035 27700 29380 31301 33900 36010 36725 41550 43212 44070 54015 62602 72020 73450 83100 88140 90025 93903 108030 110175 125204 146900 156505 180050 187806 216060 220350 270075 313010 360100 375612 406913 440700 469515 540150 626020 782525 813826 939030 1080300 1220739 1565050 1627652 1878060 2034565 2347575 2441478 3130100 4069130 4695150 4882956 6103695 8138260 9390300 10172825 12207390 20345650 24414780 30518475 40691300 61036950 122073900