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100334234100120 = 23353744950329177
BaseRepresentation
bin10110110100000011100010…
…011000011110000110011000
3111011020212012021202000211220
4112310003202120132012120
5101122334002412200440
6553220524423252040
730063623566130646
oct2664034230360630
9434225167660756
10100334234100120
1129a735674945a9
12b305543baa020
1343ca6295c4917
141aac2ba850196
15b8edcc6708d0
hex5b40e261e198

100334234100120 has 128 divisors (see below), whose sum is σ = 309826419768000. Its totient is φ = 25974686416896.

The previous prime is 100334234100041. The next prime is 100334234100137. The reversal of 100334234100120 is 21001432433001.

It is a happy number.

100334234100120 is digitally balanced in base 3, 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23171029 + ... + 27158148.

Almost surely, 2100334234100120 is an apocalyptic number.

100334234100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100334234100120 is an abundant number, since it is smaller than the sum of its proper divisors (209492185667880).

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

100334234100120 is a wasteful number, since it uses less digits than its factorization.

100334234100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50329677 (or 50329673 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 100334234100120 its reverse (21001432433001), we get a palindrome (121335666533121).

The spelling of 100334234100120 in words is "one hundred trillion, three hundred thirty-four billion, two hundred thirty-four million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 449 555 740 888 898 1110 1347 1480 1796 2220 2245 2694 3592 4440 4490 5388 6735 8980 10776 13470 16613 17960 26940 33226 49839 53880 66452 83065 99678 132904 166130 199356 249195 332260 398712 498390 664520 996780 1993560 50329177 100658354 150987531 201316708 251645885 301975062 402633416 503291770 603950124 754937655 1006583540 1207900248 1509875310 1862179549 2013167080 3019750620 3724359098 5586538647 6039501240 7448718196 9310897745 11173077294 14897436392 18621795490 22346154588 22597800473 27932693235 37243590980 44692309176 45195600946 55865386470 67793401419 74487181960 90391201892 111730772940 112989002365 135586802838 180782403784 223461545880 225978004730 271173605676 338967007095 451956009460 542347211352 677934014190 836118617501 903912018920 1355868028380 1672237235002 2508355852503 2711736056760 3344474470004 4180593087505 5016711705006 6688948940008 8361186175010 10033423410012 12541779262515 16722372350020 20066846820024 25083558525030 33444744700040 50167117050060 100334234100120