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1020120552144 = 24331926541247
BaseRepresentation
bin11101101100000111110…
…11000101001011010000
310121112002221210101012000
432312003323011023100
5113203201330132034
62100345323434000
7133462352423631
oct16660373051320
93545087711160
101020120552144
113636a3503591
12145858385900
13752739317b5
143753474d888
151b807d96599
hexed83ec52d0

1020120552144 has 120 divisors (see below), whose sum is σ = 3090347205120. Its totient is φ = 322143283008.

The previous prime is 1020120552137. The next prime is 1020120552169. The reversal of 1020120552144 is 4412550210201.

It is a happy number.

1020120552144 is a `hidden beast` number, since 10 + 2 + 0 + 120 + 5 + 521 + 4 + 4 = 666.

1020120552144 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3114672 + ... + 3426575.

It is an arithmetic number, because the mean of its divisors is an integer number (25752893376).

Almost surely, 21020120552144 is an apocalyptic number.

It is an amenable number.

1020120552144 is an abundant number, since it is smaller than the sum of its proper divisors (2070226652976).

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

1020120552144 is a wasteful number, since it uses less digits than its factorization.

1020120552144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6541302 (or 6541271 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 1020120552144 its reverse (4412550210201), we get a palindrome (5432670762345).

The spelling of 1020120552144 in words is "one trillion, twenty billion, one hundred twenty million, five hundred fifty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 361 432 456 513 684 722 912 1026 1083 1368 1444 2052 2166 2736 2888 3249 4104 4332 5776 6498 8208 8664 9747 12996 17328 19494 25992 38988 51984 77976 155952 6541247 13082494 19623741 26164988 39247482 52329976 58871223 78494964 104659952 117742446 124283693 156989928 176613669 235484892 248567386 313979856 353227338 372851079 470969784 497134772 706454676 745702158 941939568 994269544 1118553237 1412909352 1491404316 1988539088 2237106474 2361390167 2825818704 2982808632 3355659711 4474212948 4722780334 5965617264 6711319422 7084170501 8948425896 9445560668 13422638844 14168341002 17896851792 18891121336 21252511503 26845277688 28336682004 37782242672 42505023006 53690555376 56673364008 63757534509 85010046012 113346728016 127515069018 170020092024 255030138036 340040184048 510060276072 1020120552144