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2130120111100 = 2252127277605509
BaseRepresentation
bin11110111111110101000…
…011010111001111111100
321112122012201210101001011
4132333311003113033330
5234344441222023400
64310321430325004
7306616235125402
oct36776503271774
97478181711034
102130120111100
117514192a8193
122a49b8ab9764
13125b3c2a1557
1475153ca3472
153a6216698ba
hex1eff50d73fc

2130120111100 has 72 divisors (see below), whose sum is σ = 4675583521280. Its totient is φ = 842285848320.

The previous prime is 2130120111073. The next prime is 2130120111107. The reversal of 2130120111100 is 11110210312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130120111107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3215146 + ... + 3820654.

Almost surely, 22130120111100 is an apocalyptic number.

2130120111100 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 2130120111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337791760640).

2130120111100 is an abundant number, since it is smaller than the sum of its proper divisors (2545463410180).

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

2130120111100 is a wasteful number, since it uses less digits than its factorization.

2130120111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605927 (or 605920 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 2130120111100 its reverse (11110210312), we get a palindrome (2141230321412).

The spelling of 2130120111100 in words is "two trillion, one hundred thirty billion, one hundred twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 277 508 554 635 1108 1270 1385 2540 2770 3175 5540 6350 6925 12700 13850 27700 35179 70358 140716 175895 351790 605509 703580 879475 1211018 1758950 2422036 3027545 3517900 6055090 12110180 15137725 30275450 60550900 76899643 153799286 167725993 307598572 335451986 384498215 670903972 768996430 838629965 1537992860 1677259930 1922491075 3354519860 3844982150 4193149825 7689964300 8386299650 16772599300 21301201111 42602402222 85204804444 106506005555 213012011110 426024022220 532530027775 1065060055550 2130120111100