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1010505150 = 2325237137443
BaseRepresentation
bin111100001110110…
…001010110111110
32121102102222110200
4330032301112332
54032142131100
6244134344330
734020103104
oct7416612676
92542388420
101010505150
11479449526
122424bb0a6
13131477955
14982c3c74
155daa8e00
hex3c3b15be

1010505150 has 144 divisors (see below), whose sum is σ = 2814958224. Its totient is φ = 259683840.

The previous prime is 1010505149. The next prime is 1010505179. The reversal of 1010505150 is 515050101.

1010505150 is a `hidden beast` number, since 1 + 0 + 10 + 505 + 150 = 666.

It is a super-2 number, since 2×10105051502 = 2042241316353045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2280829 + ... + 2281271.

It is an arithmetic number, because the mean of its divisors is an integer number (19548321).

Almost surely, 21010505150 is an apocalyptic number.

1010505150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010505150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407479112).

1010505150 is an abundant number, since it is smaller than the sum of its proper divisors (1804453074).

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

1010505150 is a wasteful number, since it uses less digits than its factorization.

1010505150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 1010505150 is about 31788.4436548882. The cubic root of 1010505150 is about 1003.4895257132.

Adding to 1010505150 its reverse (515050101), we get a palindrome (1525555251).

The spelling of 1010505150 in words is "one billion, ten million, five hundred five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 137 150 185 222 225 274 333 370 411 443 450 555 666 685 822 886 925 1110 1233 1329 1370 1665 1850 2055 2215 2466 2658 2775 3330 3425 3987 4110 4430 5069 5550 6165 6645 6850 7974 8325 10138 10275 11075 12330 13290 15207 16391 16650 19935 20550 22150 25345 30414 30825 32782 33225 39870 45621 49173 50690 60691 61650 66450 76035 81955 91242 98346 99675 121382 126725 147519 152070 163910 182073 199350 228105 245865 253450 295038 303455 364146 380175 409775 456210 491730 546219 606910 737595 760350 819550 910365 1092438 1140525 1229325 1475190 1517275 1820730 2245567 2281050 2458650 2731095 3034550 3687975 4491134 4551825 5462190 6736701 7375950 9103650 11227835 13473402 13655475 20210103 22455670 27310950 33683505 40420206 56139175 67367010 101050515 112278350 168417525 202101030 336835050 505252575 1010505150