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200120001030 = 23352379407917
BaseRepresentation
bin1011101001100000010…
…1001110001000000110
3201010112201002100222000
42322120011032020012
511234321210013110
6231533414050130
720313105641145
oct2723005161006
9633481070860
10200120001030
1177963583804
123294b949946
1315b431466c1
149985ddb75c
155313c7a1c0
hex2e9814e206

200120001030 has 128 divisors (see below), whose sum is σ = 563905843200. Its totient is φ = 50398837632.

The previous prime is 200120001023. The next prime is 200120001031. The reversal of 200120001030 is 30100021002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200120001031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 286632 + ... + 694548.

It is an arithmetic number, because the mean of its divisors is an integer number (4405514400).

Almost surely, 2200120001030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120001030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281952921600).

200120001030 is an abundant number, since it is smaller than the sum of its proper divisors (363785842170).

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

200120001030 is a wasteful number, since it uses less digits than its factorization.

200120001030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408035 (or 408029 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 200120001030 its reverse (30100021002), we get a palindrome (230220022032).

The spelling of 200120001030 in words is "two hundred billion, one hundred twenty million, one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 79 90 115 135 138 158 207 230 237 270 345 395 414 474 621 690 711 790 1035 1185 1242 1422 1817 2070 2133 2370 3105 3555 3634 4266 5451 6210 7110 9085 10665 10902 16353 18170 21330 27255 32706 49059 54510 81765 98118 163530 245295 407917 490590 815834 1223751 2039585 2447502 3671253 4079170 6118755 7342506 9382091 11013759 12237510 18356265 18764182 22027518 28146273 32225443 36712530 46910455 55068795 56292546 64450886 84438819 93820910 96676329 110137590 140731365 161127215 168877638 193352658 253316457 281462730 290028987 322254430 422194095 483381645 506632914 580057974 741185189 844388190 870086961 966763290 1266582285 1450144935 1482370378 1740173922 2223555567 2533164570 2900289870 3705925945 4350434805 4447111134 6670666701 7411851890 8700869610 11117777835 13341333402 20012000103 22235555670 33353333505 40024000206 66706667010 100060000515 200120001030