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2132301103100 = 2252726918476131
BaseRepresentation
bin11111000001110111000…
…011001011111111111100
321112211211201201020121122
4133001313003023333330
5234413423040244400
64311322100450112
7310024260216560
oct37016703137774
97484751636548
102132301103100
11752338424813
122a53073a9938
131260c90a916c
14752bd7d36a0
153a6ecd7e685
hex1f0770cbffc

2132301103100 has 144 divisors (see below), whose sum is σ = 5311505041920. Its totient is φ = 727843833600.

The previous prime is 2132301103073. The next prime is 2132301103123. The reversal of 2132301103100 is 13011032312.

It is a super-2 number, since 2×21323011031002 (a number of 25 digits) contains 22 as substring.

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, 347787035 + ... + 347793165.

It is an arithmetic number, because the mean of its divisors is an integer number (36885451680).

Almost surely, 22132301103100 is an apocalyptic number.

2132301103100 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 2132301103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655752520960).

2132301103100 is an abundant number, since it is smaller than the sum of its proper divisors (3179203938820).

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

2132301103100 is a wasteful number, since it uses less digits than its factorization.

2132301103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8268 (or 8261 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 2132301103100 its reverse (13011032312), we get a palindrome (2145312135412).

The spelling of 2132301103100 in words is "two trillion, one hundred thirty-two billion, three hundred one million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 269 350 538 700 1076 1345 1847 1883 2690 3694 3766 5380 6131 6725 7388 7532 9235 9415 12262 12929 13450 18470 18830 24524 25858 26900 30655 36940 37660 42917 46175 47075 51716 61310 64645 85834 92350 94150 122620 129290 153275 171668 184700 188300 214585 258580 306550 323225 429170 496843 613100 646450 858340 993686 1072925 1292900 1649239 1987372 2145850 2484215 3298478 3477901 4291700 4968430 6596956 6955802 8246195 9936860 11323957 11544673 12421075 13911604 16492390 17389505 22647914 23089346 24842150 32984780 34779010 41230975 45295828 46178692 49684300 56619785 57723365 69558020 79267699 82461950 86947525 113239570 115446730 158535398 164923900 173895050 226479140 230893460 283098925 288616825 317070796 347790100 396338495 566197850 577233650 792676990 1132395700 1154467300 1585353980 1981692475 3046144433 3963384950 6092288866 7926769900 12184577732 15230722165 21323011031 30461444330 42646022062 60922888660 76153610825 85292044124 106615055155 152307221650 213230110310 304614443300 426460220620 533075275775 1066150551550 2132301103100