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2116055100 = 2235241891933
BaseRepresentation
bin111111000100000…
…0111000000111100
312110110201201220010
41332020013000330
513313202230400
6545550223220
7103303112565
oct17610070074
95413651803
102116055100
11996504575
124b07b4b10
1327951c813
1416106916c
15c5b89450
hex7e20703c

2116055100 has 144 divisors (see below), whose sum is σ = 6345531360. Its totient is φ = 544051200.

The previous prime is 2116055089. The next prime is 2116055101. The reversal of 2116055100 is 15506112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116055101) 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, 1093734 + ... + 1095666.

It is an arithmetic number, because the mean of its divisors is an integer number (44066190).

Almost surely, 22116055100 is an apocalyptic number.

2116055100 is a gapful number since it is divisible by the number (20) 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 2116055100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172765680).

2116055100 is an abundant number, since it is smaller than the sum of its proper divisors (4229476260).

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

2116055100 is a wasteful number, since it uses less digits than its factorization.

2116055100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2080 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 2116055100 is about 46000.5989091447. The cubic root of 2116055100 is about 1283.8343479584.

The spelling of 2116055100 in words is "two billion, one hundred sixteen million, fifty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 89 100 123 150 164 178 205 246 267 300 356 410 445 492 534 615 820 890 1025 1068 1230 1335 1780 1933 2050 2225 2460 2670 3075 3649 3866 4100 4450 5340 5799 6150 6675 7298 7732 8900 9665 10947 11598 12300 13350 14596 18245 19330 21894 23196 26700 28995 36490 38660 43788 48325 54735 57990 72980 79253 91225 96650 109470 115980 144975 158506 172037 182450 193300 218940 237759 273675 289950 317012 344074 364900 396265 475518 516111 547350 579900 688148 792530 860185 951036 1032222 1094700 1188795 1585060 1720370 1981325 2064444 2377590 2580555 3440740 3962650 4300925 4755180 5161110 5943975 7053517 7925300 8601850 10322220 11887950 12902775 14107034 17203700 21160551 23775900 25805550 28214068 35267585 42321102 51611100 70535170 84642204 105802755 141070340 176337925 211605510 352675850 423211020 529013775 705351700 1058027550 2116055100