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1054023021030 = 235737871132533
BaseRepresentation
bin11110101011010001010…
…10101111000111100110
310201202121200021020110210
433111220222233013212
5114232114343133110
62124113403200250
7136102446566040
oct17255052570746
93652550236423
101054023021030
11377010576211
1215033a216086
137851765a485
143902d1a0a90
151c63e3cc520
hexf568aaf1e6

1054023021030 has 64 divisors (see below), whose sum is σ = 2891132725248. Its totient is φ = 240911368320.

The previous prime is 1054023021013. The next prime is 1054023021041. The reversal of 1054023021030 is 301203204501.

It is a super-2 number, since 2×10540230210302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1054023020988 and 1054023021006.

It is a congruent number.

It is an unprimeable number.

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, 7886644 + ... + 8019176.

It is an arithmetic number, because the mean of its divisors is an integer number (45173948832).

Almost surely, 21054023021030 is an apocalyptic number.

1054023021030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054023021030 is an abundant number, since it is smaller than the sum of its proper divisors (1837109704218).

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

1054023021030 is a wasteful number, since it uses less digits than its factorization.

1054023021030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170421.

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1054023021030 its reverse (301203204501), we get a palindrome (1355226225531).

The spelling of 1054023021030 in words is "one trillion, fifty-four billion, twenty-three million, twenty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 37871 75742 113613 132533 189355 227226 265066 265097 378710 397599 530194 568065 662665 795198 795291 927731 1136130 1325330 1325485 1590582 1855462 1987995 2650970 2783193 3975990 3976455 4638655 5566386 7952910 9277310 13915965 27831930 5019157243 10038314486 15057471729 25095786215 30114943458 35134100701 50191572430 70268201402 75287358645 105402302103 150574717290 175670503505 210804604206 351341007010 527011510515 1054023021030