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121322030100 = 223527947910687
BaseRepresentation
bin111000011111101011…
…0110100010000010100
3102121011010210200212020
41300333112310100110
53441431414430400
6131422400053140
711523321145365
oct1607726642024
9377133720766
10121322030100
11474a8139987
121b61a6041b0
13b5960667bb
145c2cb5db6c
1532510982a0
hex1c3f5b4414

121322030100 has 144 divisors (see below), whose sum is σ = 356243865600. Its totient is φ = 31873345920.

The previous prime is 121322030087. The next prime is 121322030111. The reversal of 121322030100 is 1030223121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121322030100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11346957 + ... + 11357643.

Almost surely, 2121322030100 is an apocalyptic number.

121322030100 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 121322030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178121932800).

121322030100 is an abundant number, since it is smaller than the sum of its proper divisors (234921835500).

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

121322030100 is a wasteful number, since it uses less digits than its factorization.

121322030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262 (or 11255 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 121322030100 its reverse (1030223121), we get a palindrome (122352253221).

The spelling of 121322030100 in words is "one hundred twenty-one billion, three hundred twenty-two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 479 790 948 958 1185 1437 1580 1916 1975 2370 2395 2874 3950 4740 4790 5748 5925 7185 7900 9580 10687 11850 11975 14370 21374 23700 23950 28740 32061 35925 37841 42748 47900 53435 64122 71850 75682 106870 113523 128244 143700 151364 160305 189205 213740 227046 267175 320610 378410 454092 534350 567615 641220 756820 801525 844273 946025 1068700 1135230 1603050 1688546 1892050 2270460 2532819 2838075 3206100 3377092 3784100 4221365 5065638 5119073 5676150 8442730 10131276 10238146 11352300 12664095 15357219 16885460 20476292 21106825 25328190 25595365 30714438 42213650 50656380 51190730 61428876 63320475 76786095 84427300 102381460 126640950 127976825 153572190 253281900 255953650 307144380 383930475 404406767 511907300 767860950 808813534 1213220301 1535721900 1617627068 2022033835 2426440602 4044067670 4852881204 6066101505 8088135340 10110169175 12132203010 20220338350 24264406020 30330507525 40440676700 60661015050 121322030100