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150112004020 = 2251116328114897
BaseRepresentation
bin1000101111001101011…
…1110110011110110100
3112100110120012220111121
42023303113312132310
54424412133112040
6152543245113324
713562625660406
oct2136327663664
9470416186447
10150112004020
1158731349460
1225114258844
1311203836a24
1473a05c8b76
153d88855c4a
hex22f35f67b4

150112004020 has 96 divisors (see below), whose sum is σ = 347257362816. Its totient is φ = 54054604800.

The previous prime is 150112003997. The next prime is 150112004027. The reversal of 150112004020 is 20400211051.

It is a super-2 number, since 2×1501120040202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 150112003985 and 150112004003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150112004027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10069212 + ... + 10084108.

It is an arithmetic number, because the mean of its divisors is an integer number (3617264196).

Almost surely, 2150112004020 is an apocalyptic number.

150112004020 is a gapful number since it is divisible by the number (10) 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 150112004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173628681408).

150112004020 is an abundant number, since it is smaller than the sum of its proper divisors (197145358796).

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

150112004020 is a wasteful number, since it uses less digits than its factorization.

150112004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15361 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 150112004020 its reverse (20400211051), we get a palindrome (170512215071).

The spelling of 150112004020 in words is "one hundred fifty billion, one hundred twelve million, four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 163 220 281 326 562 652 815 1124 1405 1630 1793 2810 3091 3260 3586 5620 6182 7172 8965 12364 14897 15455 17930 29794 30910 35860 45803 59588 61820 74485 91606 148970 163867 183212 229015 297940 327734 458030 503833 655468 819335 916060 1007666 1638670 2015332 2428211 2519165 3277340 4186057 4856422 5038330 8372114 9712844 10076660 12141055 16744228 20930285 24282110 26710321 41860570 46046627 48564220 53420642 83721140 92093254 106841284 133551605 184186508 230233135 267103210 460466270 534206420 682327291 920932540 1364654582 2729309164 3411636455 6823272910 7505600201 13646545820 15011200402 30022400804 37528001005 75056002010 150112004020