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210020150305530 = 233518110973917527
BaseRepresentation
bin101111110000001100100000…
…011101000110001011111010
31000112121201201101012220002000
4233300030200131012023322
5210011432231434234110
62022401531453321430
762144312052520425
oct5760144035061372
91015551641186060
10210020150305530
1160a120556a7134
121b67b38b496276
139025a79c99cc6
1439c105ada29bc
15194318d03d1c0
hexbf03207462fa

210020150305530 has 128 divisors (see below), whose sum is σ = 563661450293760. Its totient is φ = 55645166108160.

The previous prime is 210020150305507. The next prime is 210020150305561. The reversal of 210020150305530 is 35503051020012.

It is a happy number.

210020150305530 is a `hidden beast` number, since 2 + 10 + 0 + 20 + 1 + 50 + 30 + 553 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 210020150305494 and 210020150305503.

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 63 ways as a sum of consecutive naturals, for example, 51651627 + ... + 55569153.

It is an arithmetic number, because the mean of its divisors is an integer number (4403605080420).

Almost surely, 2210020150305530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210020150305530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281830725146880).

210020150305530 is an abundant number, since it is smaller than the sum of its proper divisors (353641299988230).

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

210020150305530 is a wasteful number, since it uses less digits than its factorization.

210020150305530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3918821 (or 3918815 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 210020150305530 in words is "two hundred ten trillion, twenty billion, one hundred fifty million, three hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 181 270 362 543 905 1086 1097 1629 1810 2194 2715 3258 3291 4887 5430 5485 6582 8145 9774 9873 10970 16290 16455 19746 24435 29619 32910 48870 49365 59238 98730 148095 198557 296190 397114 595671 992785 1191342 1787013 1985570 2978355 3574026 3917527 5361039 5956710 7835054 8935065 10722078 11752581 17870130 19587635 23505162 26805195 35257743 39175270 53610390 58762905 70515486 105773229 117525810 176288715 211546458 352577430 528866145 709072387 1057732290 1418144774 2127217161 3545361935 4254434322 4297527119 6381651483 7090723870 8595054238 10636085805 12763302966 12892581357 19144954449 21272171610 21487635595 25785162714 31908257415 38289908898 38677744071 42975271190 63816514830 64462906785 77355488142 95724772245 116033232213 128925813570 191449544490 193388720355 232066464426 386777440710 580166161065 777852408539 1160332322130 1555704817078 2333557225617 3889262042695 4667114451234 7000671676851 7778524085390 11667786128085 14001343353702 21002015030553 23335572256170 35003358384255 42004030061106 70006716768510 105010075152765 210020150305530