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200103202332033 = 371113437121825887
BaseRepresentation
bin101101011111111000101000…
…010010110001110110000001
3222020111200100020000201112020
4231133320220102301312001
5202211442324244111113
61545330050405352053
760101656615545150
oct5537705022616601
9866450306021466
10200103202332033
1158839323044950
121a539411708629
138786860375740
14375b0920b9597
1518202244d8023
hexb5fe284b1d81

200103202332033 has 128 divisors (see below), whose sum is σ = 371720365277184. Its totient is φ = 92402070969600.

The previous prime is 200103202331959. The next prime is 200103202332049. The reversal of 200103202332033 is 330233202301002.

200103202332033 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 200103202332033 - 214 = 200103202315649 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 200103202331994 and 200103202332012.

It is not an unprimeable number, because it can be changed into a prime (200103202332083) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1744785 + ... + 20081102.

It is an arithmetic number, because the mean of its divisors is an integer number (2904065353728).

Almost surely, 2200103202332033 is an apocalyptic number.

It is an amenable number.

200103202332033 is a deficient number, since it is larger than the sum of its proper divisors (171617162945151).

200103202332033 is a wasteful number, since it uses less digits than its factorization.

200103202332033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21826035.

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 200103202332033 its reverse (330233202301002), we get a palindrome (530336404633035).

The spelling of 200103202332033 in words is "two hundred trillion, one hundred three billion, two hundred two million, three hundred thirty-two thousand, thirty-three".

Divisors: 1 3 7 11 13 21 33 39 43 71 77 91 129 143 213 231 273 301 429 473 497 559 781 903 923 1001 1419 1491 1677 2343 2769 3003 3053 3311 3913 5467 6149 6461 9159 9933 10153 11739 16401 18447 19383 21371 30459 33583 39689 43043 64113 71071 100749 119067 129129 213213 235081 277823 436579 705243 833469 1309737 3056053 9168159 21825887 65477661 152781209 240084757 283736531 458343627 720254271 851209593 938513141 1549637977 1680593299 1986155717 2815539423 3121101841 4648913931 5041779897 5958467151 6569591987 9363305523 10323644551 10847465839 12200670833 17046017747 19708775961 20145293701 21847712887 30970933653 32542397517 36602012499 51138053241 60435881103 65543138661 66634433011 72265511857 85404695831 119322124229 134207379163 141017055907 199903299033 216796535571 221598230711 256214087493 357966372687 402622137489 423051167721 466441031077 664794692133 732978763121 866247629143 939451654141 1399323093231 1551187614977 2198936289363 2598742887429 2818354962423 4653562844931 5130851341847 6063733404001 9528723920573 15392554025541 18191200212003 28586171761719 66701067444011 200103202332033