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2420154112332 = 22311192103149261
BaseRepresentation
bin100011001101111100011…
…011010001100101001100
322120100211200221012120210
4203031330123101211030
5304122433423043312
65051445313442420
7336564450351045
oct43157433214514
98510750835523
102420154112332
118534219a3070
12331060870410
131472b1488c68
14851c95b38cc
1542e48e34e3c
hex2337c6d194c

2420154112332 has 144 divisors (see below), whose sum is σ = 6508126566144. Its totient is φ = 694093104000.

The previous prime is 2420154112241. The next prime is 2420154112379. The reversal of 2420154112332 is 2332114510242.

It is a happy number.

2420154112332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2420154112332.

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, 49104582 + ... + 49153842.

It is an arithmetic number, because the mean of its divisors is an integer number (45195323376).

Almost surely, 22420154112332 is an apocalyptic number.

2420154112332 is a gapful number since it is divisible by the number (22) 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 2420154112332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254063283072).

2420154112332 is an abundant number, since it is smaller than the sum of its proper divisors (4087972453812).

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

2420154112332 is a wasteful number, since it uses less digits than its factorization.

2420154112332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50348 (or 50327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2420154112332 its reverse (2332114510242), we get a palindrome (4752268622574).

The spelling of 2420154112332 in words is "two trillion, four hundred twenty billion, one hundred fifty-four million, one hundred twelve thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 361 418 627 722 836 1031 1083 1254 1444 2062 2166 2508 3093 3971 4124 4332 6186 7942 11341 11913 12372 15884 19589 22682 23826 34023 39178 45364 47652 49261 58767 68046 78356 98522 117534 136092 147783 197044 215479 235068 295566 372191 430958 541871 591132 646437 744382 861916 935959 1083742 1116573 1292874 1488764 1625613 1871918 2167484 2233146 2585748 2807877 3251226 3743836 4094101 4466292 5615754 6502452 8188202 10295549 11231508 12282303 16376404 17783221 20591098 24564606 30886647 35566442 41182196 49129212 50788091 53349663 61773294 71132884 101576182 106699326 123546588 152364273 195615431 203152364 213398652 304728546 391230862 558669001 586846293 609457092 782461724 964973729 1117338002 1173692586 1676007003 1929947458 2234676004 2347385172 2894921187 3352014006 3859894916 5789842374 6704028012 10614711019 11579684748 18334500851 21229422038 31844133057 36669001702 42458844076 55003502553 63688266114 73338003404 110007005106 127376532228 201679509361 220014010212 403359018722 605038528083 806718037444 1210077056166 2420154112332