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3002132030100 = 2235271931973999
BaseRepresentation
bin101011101011111101000…
…000110110001010010100
3101122000000202001121220220
4223223331000312022110
5343141331244430400
610215054352154340
7426616426133220
oct53537500661224
911560022047826
103002132030100
11a582192a1525
124059bbb389b0
1318a13b453a88
14a543811d780
155315b9d67a0
hex2bafd036294

3002132030100 has 144 divisors (see below), whose sum is σ = 9927697920000. Its totient is φ = 686156814720.

The previous prime is 3002132030021. The next prime is 3002132030173. The reversal of 3002132030100 is 10302312003.

3002132030100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 3002132030100.

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, 40532901 + ... + 40606899.

Almost surely, 23002132030100 is an apocalyptic number.

3002132030100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3002132030100 is an abundant number, since it is smaller than the sum of its proper divisors (6925565889900).

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

3002132030100 is a wasteful number, since it uses less digits than its factorization.

3002132030100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93342 (or 93335 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 3002132030100 its reverse (10302312003), we get a palindrome (3012434342103).

The spelling of 3002132030100 in words is "three trillion, two billion, one hundred thirty-two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 1050 2100 19319 38638 57957 73999 77276 96595 115914 135233 147998 193190 221997 231828 270466 289785 295996 369995 386380 405699 443994 482975 517993 540932 579570 676165 739990 811398 887988 965950 1035986 1109985 1159140 1352330 1448925 1479980 1553979 1622796 1849975 1931900 2028495 2071972 2219970 2589965 2704660 2897850 3107958 3380825 3699950 4056990 4439940 5179930 5549925 5795700 6215916 6761650 7399900 7769895 8113980 10142475 10359860 11099850 12949825 13523300 15539790 20284950 22199700 25899650 31079580 38849475 40569900 51799300 77698950 155397900 1429586681 2859173362 4288760043 5718346724 7147933405 8577520086 10007106767 14295866810 17155040172 20014213534 21443800215 28591733620 30021320301 35739667025 40028427068 42887600430 50035533835 60042640602 71479334050 85775200860 100071067670 107219001075 120085281204 142958668100 150106601505 200142135340 214438002150 250177669175 300213203010 428876004300 500355338350 600426406020 750533007525 1000710676700 1501066015050 3002132030100