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100230122201300 = 225271315597064977
BaseRepresentation
bin10110110010100010100100…
…110101000110000011010100
3111010212220110112211120211022
4112302202210311012003110
5101114132242240420200
6553101025452100312
730053246602445150
oct2662424465060324
9433786415746738
10100230122201300
1129a333a0a97013
12b2a9329164698
1343c0876c45070
141aa724166c060
15b8c33745a885
hex5b28a4d460d4

100230122201300 has 144 divisors (see below), whose sum is σ = 267863271486720. Its totient is φ = 31700829911040.

The previous prime is 100230122201227. The next prime is 100230122201303. The reversal of 100230122201300 is 3102221032001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100230122201303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10654412 + ... + 17719388.

Almost surely, 2100230122201300 is an apocalyptic number.

100230122201300 is a gapful number since it is divisible by the number (10) 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 100230122201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133931635743360).

100230122201300 is an abundant number, since it is smaller than the sum of its proper divisors (167633149285420).

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

100230122201300 is a wasteful number, since it uses less digits than its factorization.

100230122201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066570 (or 7066563 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100230122201300 its reverse (3102221032001), we get a palindrome (103332343233301).

The spelling of 100230122201300 in words is "one hundred trillion, two hundred thirty billion, one hundred twenty-two million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1559 1820 2275 3118 4550 6236 7795 9100 10913 15590 20267 21826 31180 38975 40534 43652 54565 77950 81068 101335 109130 141869 155900 202670 218260 272825 283738 405340 506675 545650 567476 709345 1013350 1091300 1418690 2026700 2837380 3546725 7064977 7093450 14129954 14186900 28259908 35324885 49454839 70649770 91844701 98909678 141299540 176624425 183689402 197819356 247274195 353248850 367378804 459223505 494548390 642912907 706497700 918447010 989096780 1236370975 1285825814 1836894020 2296117525 2472741950 2571651628 3214564535 4592235050 4945483900 6429129070 9184470100 11014299143 12858258140 16072822675 22028598286 32145645350 44057196572 55071495715 64291290700 77100094001 110142991430 143185888859 154200188002 220285982860 275357478575 286371777718 308400376004 385500470005 550714957150 572743555436 715929444295 771000940010 1002301222013 1101429914300 1431858888590 1542001880020 1927502350025 2004602444026 2863717777180 3579647221475 3855004700050 4009204888052 5011506110065 7159294442950 7710009400100 10023012220130 14318588885900 20046024440260 25057530550325 50115061100650 100230122201300