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21160146120 = 23355327112277
BaseRepresentation
bin10011101101001111…
…100011010011001000
32000121200112210112120
4103231033203103020
5321313444133440
613415411211240
71346240163051
oct235517432310
960550483476
1021160146120
118a79394a73
1241265a6b20
131cc2b56c29
14104a3dd728
1583ca32dd0
hex4ed3e34c8

21160146120 has 128 divisors (see below), whose sum is σ = 64922135040. Its totient is φ = 5515361280.

The previous prime is 21160146107. The next prime is 21160146149. The reversal of 21160146120 is 2164106112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1717422 + ... + 1729698.

It is an arithmetic number, because the mean of its divisors is an integer number (507204180).

Almost surely, 221160146120 is an apocalyptic number.

21160146120 is a gapful number since it is divisible by the number (20) 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 21160146120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32461067520).

21160146120 is an abundant number, since it is smaller than the sum of its proper divisors (43761988920).

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

21160146120 is a wasteful number, since it uses less digits than its factorization.

21160146120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12615 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 21160146120 in words is "twenty-one billion, one hundred sixty million, one hundred forty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 271 318 424 530 542 636 795 813 1060 1084 1272 1355 1590 1626 2120 2168 2710 3180 3252 4065 5420 6360 6504 8130 10840 12277 14363 16260 24554 28726 32520 36831 43089 49108 57452 61385 71815 73662 86178 98216 114904 122770 143630 147324 172356 184155 215445 245540 287260 294648 344712 368310 430890 491080 574520 650681 736620 861780 1301362 1473240 1723560 1952043 2602724 3253405 3327067 3904086 5205448 6506810 6654134 7808172 9760215 9981201 13013620 13308268 15616344 16635335 19520430 19962402 26027240 26616536 33270670 39040860 39924804 49906005 66541340 78081720 79849608 99812010 133082680 176334551 199624020 352669102 399248040 529003653 705338204 881672755 1058007306 1410676408 1763345510 2116014612 2645018265 3526691020 4232029224 5290036530 7053382040 10580073060 21160146120